Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700bm |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
2026442847520000 = 28 · 54 · 78 · 133 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35933,-1465463] |
[a1,a2,a3,a4,a6] |
j |
272588800/107653 |
j-invariant |
L |
2.1522790657947 |
L(r)(E,1)/r! |
Ω |
0.35871317634261 |
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 |
63700t1 9100l1 |
Quadratic twists by: 5 -7 |