Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640z |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
98409754181440 = 26 · 5 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 4 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12015,166823] |
[a1,a2,a3,a4,a6] |
j |
2997444904021504/1537652409085 |
j-invariant |
L |
2.1132705238321 |
L(r)(E,1)/r! |
Ω |
0.52831767960188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640ba1 60320q1 |
Quadratic twists by: -4 8 |