Atkin-Lehner |
2+ 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910p |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10433280 |
Modular degree for the optimal curve |
Δ |
3.5267740754809E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1653830364,-25871533694438] |
[a1,a2,a3,a4,a6] |
Generators |
[-6376479680884146890386461119366481099290636727562998605457907849799661929457177634951843685514330:-10722074993774593998649172760592936004300162343440137033772117591341442261245966429112040704069831:266703064514016489745303025121692253660719144139071520661285018052367118089154858386029393163] |
Generators of the group modulo torsion |
j |
500260940707947616544004758689849/352677407548090456473600000 |
j-invariant |
L |
3.5723590569493 |
L(r)(E,1)/r! |
Ω |
0.023675283758921 |
Real period |
R |
150.88980952987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280bf1 44730by1 74550cm1 104370z1 |
Quadratic twists by: -4 -3 5 -7 |