Atkin-Lehner |
2- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bq |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
2059200 |
Modular degree for the optimal curve |
Δ |
-677474519321600000 = -1 · 213 · 55 · 76 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149778,-45415919] |
[a1,a2,a3,a4,a6] |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
8.9236600927203 |
L(r)(E,1)/r! |
Ω |
0.11440589871583 |
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 |
1430k1 |
Quadratic twists by: -7 |