Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070t |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
4414837063680 = 215 · 39 · 5 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-914206,-336826021] |
[a1,a2,a3,a4,a6] |
j |
61723777276716813001/3224862720 |
j-invariant |
L |
2.3159532893178 |
L(r)(E,1)/r! |
Ω |
0.15439688594986 |
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 |
123210bp1 41070i1 |
Quadratic twists by: -3 37 |