Atkin-Lehner |
2- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312j |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
4080611152 = 24 · 195 · 103 |
Discriminant |
Eigenvalues |
2- 1 0 1 6 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3573,-83350] |
[a1,a2,a3,a4,a6] |
j |
315372863488000/255038197 |
j-invariant |
L |
2.4700869809995 |
L(r)(E,1)/r! |
Ω |
0.61752174525027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7828c1 125248bg1 |
Quadratic twists by: -4 8 |