Atkin-Lehner |
2- 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298bj |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
2890461314629888272 = 24 · 313 · 73 · 13 · 714 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1888961,996387905] |
[a1,a2,a3,a4,a6] |
Generators |
[-10676043:-82452560:6859] |
Generators of the group modulo torsion |
j |
1022503828123525921993/3964967509780368 |
j-invariant |
L |
10.154649420694 |
L(r)(E,1)/r! |
Ω |
0.25538288599407 |
Real period |
R |
9.9406126719045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009742 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38766q1 |
Quadratic twists by: -3 |