Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880b |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-440201825776000000 = -1 · 210 · 56 · 317 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310403,73822098] |
[a1,a2,a3,a4,a6] |
j |
-3639412836/484375 |
j-invariant |
L |
2.3048118789008 |
L(r)(E,1)/r! |
Ω |
0.28810148535713 |
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 |
38440g1 2480a1 |
Quadratic twists by: -4 -31 |