Atkin-Lehner |
2+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
5656a |
Isogeny class |
Conductor |
5656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-434561792 = -1 · 28 · 75 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79588,-8668688] |
[a1,a2,a3,a4,a6] |
j |
-217787012453554000/1697507 |
j-invariant |
L |
2.558171824642 |
L(r)(E,1)/r! |
Ω |
0.14212065692456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11312g1 45248b1 50904g1 39592c1 |
Quadratic twists by: -4 8 -3 -7 |