Atkin-Lehner |
2- 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478da |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
-2986831417863831552 = -1 · 222 · 36 · 76 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-894692,-336250608] |
[a1,a2,a3,a4,a6] |
j |
-673218690226274737/25387648155648 |
j-invariant |
L |
10.222687368906 |
L(r)(E,1)/r! |
Ω |
0.077444603507106 |
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 |
2622b1 |
Quadratic twists by: -7 |