Atkin-Lehner |
2- 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290p |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-509127566147481600 = -1 · 212 · 314 · 52 · 114 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,117148,-30694521] |
[a1,a2,a3,a4,a6] |
j |
243895785017745671/698391723110400 |
j-invariant |
L |
7.2374501257233 |
L(r)(E,1)/r! |
Ω |
0.15078021107881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430a1 |
Quadratic twists by: -3 |