Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680d |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
263533760 = 26 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2303,42532] |
[a1,a2,a3,a4,a6] |
j |
179406144/35 |
j-invariant |
L |
1.6946127913315 |
L(r)(E,1)/r! |
Ω |
1.6946127913315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15680e1 7840w3 78400t1 2240e1 |
Quadratic twists by: -4 8 5 -7 |