Atkin-Lehner |
2+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298i |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
28505142327088 = 24 · 711 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -3 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-181456,-29704816] |
[a1,a2,a3,a4,a6] |
Generators |
[18142164:467185888:19683] |
Generators of the group modulo torsion |
j |
5616306719736777/242289712 |
j-invariant |
L |
10.191973421517 |
L(r)(E,1)/r! |
Ω |
0.23131709703048 |
Real period |
R |
11.015153613295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12614d1 |
Quadratic twists by: -7 |