Atkin-Lehner |
2+ 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320b |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3475768320 = 210 · 34 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-2304] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] |
Generators of the group modulo torsion |
j |
10262905636/3394305 |
j-invariant |
L |
3.7994845660074 |
L(r)(E,1)/r! |
Ω |
1.060325129796 |
Real period |
R |
0.89583007096419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160t1 |
Quadratic twists by: -4 |