Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800bd |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-480265200 = -1 · 24 · 39 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,1215] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] [-11:37:1] |
Generators of the group modulo torsion |
j |
-34560/61 |
j-invariant |
L |
11.0426496002 |
L(r)(E,1)/r! |
Ω |
1.4839814783744 |
Real period |
R |
1.8603078544188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109800a1 109800f1 |
Quadratic twists by: -3 5 |