Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320v |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
1324539274320 = 24 · 34 · 5 · 172 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39295,-3010780] |
[a1,a2,a3,a4,a6] |
j |
419398295322228736/82783704645 |
j-invariant |
L |
2.7127485667169 |
L(r)(E,1)/r! |
Ω |
0.33909349180311 |
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 |
59160d1 |
Quadratic twists by: -4 |