Atkin-Lehner |
5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37525c |
Isogeny class |
Conductor |
37525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57816526484375 = 57 · 19 · 794 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15917,684866] |
[a1,a2,a3,a4,a6] |
j |
28543201448481/3700257695 |
j-invariant |
L |
2.4138841089624 |
L(r)(E,1)/r! |
Ω |
0.60347102724213 |
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 |
7505c3 |
Quadratic twists by: 5 |