Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315n |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
899564703469763625 = 316 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-288489,-38425313] |
[a1,a2,a3,a4,a6] |
j |
22569455565127801/7646173817625 |
j-invariant |
L |
1.6931829801715 |
L(r)(E,1)/r! |
Ω |
0.21164787252144 |
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 |
63945bd1 106575w1 3045f1 |
Quadratic twists by: -3 5 -7 |