Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74420c |
Isogeny class |
Conductor |
74420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1071360 |
Modular degree for the optimal curve |
Δ |
1257097134408400 = 24 · 52 · 617 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1890268,-1000305267] |
[a1,a2,a3,a4,a6] |
j |
906139090944/1525 |
j-invariant |
L |
1.1588074058218 |
L(r)(E,1)/r! |
Ω |
0.1287563785202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1220a1 |
Quadratic twists by: 61 |