Atkin-Lehner |
2- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bo |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1961960 = -1 · 23 · 5 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-386,-3081] |
[a1,a2,a3,a4,a6] |
j |
-18546494023/5720 |
j-invariant |
L |
3.2311720876069 |
L(r)(E,1)/r! |
Ω |
0.53852868113422 |
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 |
70070cl1 |
Quadratic twists by: -7 |