Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056i |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-1795585792 = -1 · 28 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,596] |
[a1,a2,a3,a4,a6] |
j |
31250000/20449 |
j-invariant |
L |
3.7223927087167 |
L(r)(E,1)/r! |
Ω |
0.93059817714732 |
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 |
112112i1 56056g1 |
Quadratic twists by: -4 -7 |