Atkin-Lehner |
2+ 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350w |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-2104703190000000000 = -1 · 210 · 39 · 510 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,265974,-45634052] |
[a1,a2,a3,a4,a6] |
Generators |
[701:-22383:1] [242:5616:1] |
Generators of the group modulo torsion |
j |
133175270470841711/134701004160000 |
j-invariant |
L |
8.4064187492556 |
L(r)(E,1)/r! |
Ω |
0.14185352173599 |
Real period |
R |
1.6461461728187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870n1 |
Quadratic twists by: 5 |