Atkin-Lehner |
2- 3- 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230w |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
46407046500 = 22 · 37 · 53 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1958,32177] |
[a1,a2,a3,a4,a6] |
j |
1138220196121/63658500 |
j-invariant |
L |
2.2348743799086 |
L(r)(E,1)/r! |
Ω |
1.1174372488757 |
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 |
34410i1 |
Quadratic twists by: -3 |