Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048ba |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-116702208 = -1 · 210 · 35 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,-553] |
[a1,a2,a3,a4,a6] |
j |
-12967168/113967 |
j-invariant |
L |
3.9474659454275 |
L(r)(E,1)/r! |
Ω |
0.78949319456968 |
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 |
90048bc1 11256d1 |
Quadratic twists by: -4 8 |