Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150b |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1777434624000000000 = -1 · 224 · 33 · 59 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-708792,238647616] |
[a1,a2,a3,a4,a6] |
Generators |
[53:14159:1] |
Generators of the group modulo torsion |
j |
-93346209637802883/4213178368000 |
j-invariant |
L |
5.3990562083463 |
L(r)(E,1)/r! |
Ω |
0.26218947450619 |
Real period |
R |
5.1480480999233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000192886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cc3 25830y1 |
Quadratic twists by: -3 5 |