Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390z |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-44024310000 = -1 · 24 · 38 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,832,-4269] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1251:8] |
Generators of the group modulo torsion |
j |
87469256519/60390000 |
j-invariant |
L |
9.8114905058491 |
L(r)(E,1)/r! |
Ω |
0.64439026274659 |
Real period |
R |
1.9032508467496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130d1 |
Quadratic twists by: -3 |