Atkin-Lehner |
7- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
103733g |
Isogeny class |
Conductor |
103733 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-10263634405997 = -1 · 78 · 293 · 73 |
Discriminant |
Eigenvalues |
1 1 0 7- 2 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13501,-624263] |
[a1,a2,a3,a4,a6] |
j |
-2313060765625/87239453 |
j-invariant |
L |
2.6515694400328 |
L(r)(E,1)/r! |
Ω |
0.22096413687203 |
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 |
14819e1 |
Quadratic twists by: -7 |