Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528ba |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-614771555328 = -1 · 210 · 36 · 77 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-37730] |
[a1,a2,a3,a4,a6] |
j |
-4/7 |
j-invariant |
L |
0.8274989252506 |
L(r)(E,1)/r! |
Ω |
0.4137494626253 |
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 |
7056ba1 28224cq1 392d1 88200bo1 |
Quadratic twists by: -4 8 -3 5 |