Atkin-Lehner |
2- 3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bu |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-14229135360 = -1 · 213 · 32 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,520,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[2:66:1] |
Generators of the group modulo torsion |
j |
3789119879/3473910 |
j-invariant |
L |
4.6848900085033 |
L(r)(E,1)/r! |
Ω |
0.81808166304237 |
Real period |
R |
0.47722314056532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570n1 |
Quadratic twists by: -4 |