Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600d |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-118750000 = -1 · 24 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,-238] |
[a1,a2,a3,a4,a6] |
j |
702464/475 |
j-invariant |
L |
4.2334430384803 |
L(r)(E,1)/r! |
Ω |
1.0583607596201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3800e1 30400bk1 68400ch1 1520d1 |
Quadratic twists by: -4 8 -3 5 |