Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
8480b |
Isogeny class |
Conductor |
8480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-84800000000 = -1 · 212 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 2 -3 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,-15025] |
[a1,a2,a3,a4,a6] |
Generators |
[35:100:1] |
Generators of the group modulo torsion |
j |
-4378747456/20703125 |
j-invariant |
L |
5.0055152108364 |
L(r)(E,1)/r! |
Ω |
0.44717990353066 |
Real period |
R |
0.34979736142797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8480c1 16960m1 76320be1 42400g1 |
Quadratic twists by: -4 8 -3 5 |