Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4290bc |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1187575234560 = 224 · 32 · 5 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2840,25152] |
[a1,a2,a3,a4,a6] |
j |
2533309721804161/1187575234560 |
j-invariant |
L |
4.6401652746821 |
L(r)(E,1)/r! |
Ω |
0.77336087911369 |
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 |
34320bh1 12870k1 21450f1 47190bg1 |
Quadratic twists by: -4 -3 5 -11 |