Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cr |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
5402364443533246464 = 226 · 35 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1750184,884736624] |
[a1,a2,a3,a4,a6] |
Generators |
[-1470:16698:1] [-1340:28672:1] |
Generators of the group modulo torsion |
j |
81706955619457/744505344 |
j-invariant |
L |
7.6096789047228 |
L(r)(E,1)/r! |
Ω |
0.24244445146279 |
Real period |
R |
15.69365448083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342q1 8976u1 |
Quadratic twists by: -4 -11 |