Atkin-Lehner |
2+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
29536b |
Isogeny class |
Conductor |
29536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-3780608 = -1 · 212 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 0 -4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,91] |
[a1,a2,a3,a4,a6] |
Generators |
[9:28:1] |
Generators of the group modulo torsion |
j |
-64000/923 |
j-invariant |
L |
6.1556507638839 |
L(r)(E,1)/r! |
Ω |
2.1037802640429 |
Real period |
R |
1.46299755471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29536a1 59072c1 |
Quadratic twists by: -4 8 |