Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424v |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
660695616 = 26 · 36 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-322,-1960] |
[a1,a2,a3,a4,a6] |
j |
57870788032/10323369 |
j-invariant |
L |
3.4216057687032 |
L(r)(E,1)/r! |
Ω |
1.1405352562344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11424a1 22848m2 34272u1 79968bx1 |
Quadratic twists by: -4 8 -3 -7 |