Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280d |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
194208000 = 28 · 3 · 53 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252876,-48860940] |
[a1,a2,a3,a4,a6] |
j |
6985673827271875024/758625 |
j-invariant |
L |
0.85159381701741 |
L(r)(E,1)/r! |
Ω |
0.21289845425435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bm1 114240ek1 42840by1 71400dr1 |
Quadratic twists by: -4 8 -3 5 |