Atkin-Lehner |
2- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298s |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
888936229888 = 210 · 73 · 17 · 533 |
Discriminant |
Eigenvalues |
2- -1 2 7- -5 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2927,-41931] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:126:1] [-29:154:1] |
Generators of the group modulo torsion |
j |
8085502817911/2591650816 |
j-invariant |
L |
14.315965725518 |
L(r)(E,1)/r! |
Ω |
0.66554180830366 |
Real period |
R |
0.35850404253601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298y1 |
Quadratic twists by: -7 |