Atkin-Lehner |
2- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
108100c |
Isogeny class |
Conductor |
108100 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1635840 |
Modular degree for the optimal curve |
Δ |
2426470174060000000 = 28 · 57 · 232 · 475 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2543908,1560758312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1178:54050:1] |
Generators of the group modulo torsion |
j |
455164198476481744/606617543515 |
j-invariant |
L |
4.642032109404 |
L(r)(E,1)/r! |
Ω |
0.25738870833563 |
Real period |
R |
0.15029253299281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21620a1 |
Quadratic twists by: 5 |