Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640a |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
727700480 = 210 · 5 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-947528,355006408] |
[a1,a2,a3,a4,a6] |
Generators |
[558:164:1] |
Generators of the group modulo torsion |
j |
91875541747882530816/710645 |
j-invariant |
L |
3.7849233269263 |
L(r)(E,1)/r! |
Ω |
0.79133795234807 |
Real period |
R |
2.3914708793708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bt1 15080e1 |
Quadratic twists by: -4 8 |