Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bo |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
16871742720 = 28 · 38 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3285,-73305] |
[a1,a2,a3,a4,a6] |
j |
312626642944/1345005 |
j-invariant |
L |
5.0461140610621 |
L(r)(E,1)/r! |
Ω |
0.63076430472694 |
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 |
120540a1 |
Quadratic twists by: -7 |