Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kj |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
1872 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
13630722094080000 = 213 · 38 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13+ -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120688,15118592] |
[a1,a2,a3,a4,a6] |
Generators |
[1208:-41008:1] [-3074:19057:8] |
Generators of the group modulo torsion |
j |
129551972799025/9083363328 |
j-invariant |
L |
18.531623233135 |
L(r)(E,1)/r! |
Ω |
0.38943187059457 |
Real period |
R |
0.025420033984808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550k1 95550ir1 |
Quadratic twists by: 5 -7 |