Atkin-Lehner |
2+ 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030h |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
241549776000 = 27 · 39 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2520,43200] |
[a1,a2,a3,a4,a6] |
j |
2428257525121/331344000 |
j-invariant |
L |
1.9018793558921 |
L(r)(E,1)/r! |
Ω |
0.95093966889283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010s1 |
Quadratic twists by: -3 |