Atkin-Lehner |
2+ 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350u |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
3005918570020410450 = 2 · 33 · 52 · 716 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-588977446,-5501739003442] |
[a1,a2,a3,a4,a6] |
j |
903815314284486548828394761665/120236742800816418 |
j-invariant |
L |
1.6548881562853 |
L(r)(E,1)/r! |
Ω |
0.030646077015464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350cs1 |
Quadratic twists by: 5 |