Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7072h |
Isogeny class |
Conductor |
7072 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
53139008 = 26 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 2 4 0 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6546,206048] |
[a1,a2,a3,a4,a6] |
j |
484772621703616/830297 |
j-invariant |
L |
5.115330230893 |
L(r)(E,1)/r! |
Ω |
1.7051100769643 |
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 |
7072b1 14144e2 63648m1 91936k1 |
Quadratic twists by: -4 8 -3 13 |