Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370t |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
24678793640902500 = 22 · 37 · 54 · 11 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2457517,1481792521] |
[a1,a2,a3,a4,a6] |
Generators |
[885:569:1] |
Generators of the group modulo torsion |
j |
68001744211490809/1022422500 |
j-invariant |
L |
4.5537784234 |
L(r)(E,1)/r! |
Ω |
0.3456834166122 |
Real period |
R |
1.646657819048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610k1 |
Quadratic twists by: 17 |