Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37975a |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1424655859375 = -1 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 4 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,59375] |
[a1,a2,a3,a4,a6] |
j |
-117649/775 |
j-invariant |
L |
2.9372514687885 |
L(r)(E,1)/r! |
Ω |
0.73431286719965 |
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 |
7595h1 775b1 |
Quadratic twists by: 5 -7 |