Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394j |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3244032 |
Modular degree for the optimal curve |
Δ |
-3.5892102226161E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-653061,-352899891] |
[a1,a2,a3,a4,a6] |
Generators |
[1203208:53334707:512] |
Generators of the group modulo torsion |
j |
-208074558647593/242455410432 |
j-invariant |
L |
3.162416521254 |
L(r)(E,1)/r! |
Ω |
0.080357975401031 |
Real period |
R |
4.9192636113655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278a1 |
Quadratic twists by: -23 |