Atkin-Lehner |
2+ 3- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34410i |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
63658500 = 22 · 3 · 53 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-218,-1192] |
[a1,a2,a3,a4,a6] |
j |
1138220196121/63658500 |
j-invariant |
L |
3.7424626687993 |
L(r)(E,1)/r! |
Ω |
1.2474875562664 |
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 |
103230w1 |
Quadratic twists by: -3 |