Atkin-Lehner |
2+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410i |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
1489592052009205760 = 216 · 5 · 711 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1675923,-833713747] |
[a1,a2,a3,a4,a6] |
Generators |
[-1590833418:3804201733:2146689] |
Generators of the group modulo torsion |
j |
4424844982155048361/12661323530240 |
j-invariant |
L |
5.7917528262373 |
L(r)(E,1)/r! |
Ω |
0.13271215546888 |
Real period |
R |
10.910366173141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999638593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630k1 |
Quadratic twists by: -7 |