Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7072c |
Isogeny class |
Conductor |
7072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
31074368 = 26 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 -4 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118,456] |
[a1,a2,a3,a4,a6] |
j |
2863288000/485537 |
j-invariant |
L |
1.990095209662 |
L(r)(E,1)/r! |
Ω |
1.990095209662 |
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 |
7072e1 14144w1 63648d1 91936d1 |
Quadratic twists by: -4 8 -3 13 |