Atkin-Lehner |
2- 3+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
63684d |
Isogeny class |
Conductor |
63684 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-642698928 = -1 · 24 · 33 · 293 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -6 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-780,8473] |
[a1,a2,a3,a4,a6] |
j |
-121485312000/1487729 |
j-invariant |
L |
3.2525982741324 |
L(r)(E,1)/r! |
Ω |
1.6262991412111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63684b2 |
Quadratic twists by: -3 |