Atkin-Lehner |
3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
63291d |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6362074611 = -1 · 35 · 173 · 732 |
Discriminant |
Eigenvalues |
0 3+ -3 -2 -1 -7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-147,-3850] |
[a1,a2,a3,a4,a6] |
Generators |
[154:69:8] [74:620:1] |
Generators of the group modulo torsion |
j |
-71991296/1294947 |
j-invariant |
L |
4.7469669659603 |
L(r)(E,1)/r! |
Ω |
0.57592894022117 |
Real period |
R |
2.0605697311052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63291i1 |
Quadratic twists by: 17 |