Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7068f |
Isogeny class |
Conductor |
7068 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-2545324419058600752 = -1 · 24 · 33 · 1910 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-816717,294004872] |
[a1,a2,a3,a4,a6] |
j |
-3765468751313385422848/159082776191162547 |
j-invariant |
L |
3.8207852951961 |
L(r)(E,1)/r! |
Ω |
0.25471901967974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28272e1 113088b1 21204f1 |
Quadratic twists by: -4 8 -3 |