Atkin-Lehner |
2- 3- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
70290m |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
7828548750 = 2 · 36 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2678,53831] |
[a1,a2,a3,a4,a6] |
j |
2912566550041/10738750 |
j-invariant |
L |
5.2859334005383 |
L(r)(E,1)/r! |
Ω |
1.3214833519784 |
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 |
7810a1 |
Quadratic twists by: -3 |