Atkin-Lehner |
2- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53404c |
Isogeny class |
Conductor |
53404 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
84240 |
Modular degree for the optimal curve |
Δ |
97617385216 = 28 · 136 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 -2 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30476,-2037608] |
[a1,a2,a3,a4,a6] |
j |
2533446736/79 |
j-invariant |
L |
1.0840041458286 |
L(r)(E,1)/r! |
Ω |
0.36133471529991 |
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 |
316a1 |
Quadratic twists by: 13 |