Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952dw |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
31604176116301824 = 214 · 39 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-599907,178639202] |
[a1,a2,a3,a4,a6] |
j |
1387087009/1836 |
j-invariant |
L |
2.9563371528475 |
L(r)(E,1)/r! |
Ω |
0.36954211251077 |
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 |
14994p1 39984bd1 119952eu1 |
Quadratic twists by: -4 -3 -7 |