Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825bw |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-56143306863984375 = -1 · 38 · 57 · 78 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,85724,-6045427] |
[a1,a2,a3,a4,a6] |
j |
37899197279/30541455 |
j-invariant |
L |
1.5670095720245 |
L(r)(E,1)/r! |
Ω |
0.19587619691239 |
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 |
13965c1 9975a1 |
Quadratic twists by: 5 -7 |