Atkin-Lehner |
7- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
103733j |
Isogeny class |
Conductor |
103733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
249062933 = 76 · 29 · 73 |
Discriminant |
Eigenvalues |
-2 2 0 7- -3 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,-2948] |
[a1,a2,a3,a4,a6] |
j |
64000000/2117 |
j-invariant |
L |
2.128415176499 |
L(r)(E,1)/r! |
Ω |
1.0642077635621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2117a1 |
Quadratic twists by: -7 |