Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bl |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
1.8789133545E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14903375,22128937125] |
[a1,a2,a3,a4,a6] |
Generators |
[13110:360945:8] |
Generators of the group modulo torsion |
j |
199144987475642209/102211200000 |
j-invariant |
L |
4.5041672441136 |
L(r)(E,1)/r! |
Ω |
0.17711039800564 |
Real period |
R |
3.1789263219283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110dc1 13650y1 |
Quadratic twists by: 5 -7 |