Atkin-Lehner |
2+ 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774i |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
64873798132 = 22 · 112 · 135 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -2 2 11- 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1422,16476] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:1137:8] [-9:173:1] |
Generators of the group modulo torsion |
j |
2625415401697/536147092 |
j-invariant |
L |
8.2373185874433 |
L(r)(E,1)/r! |
Ω |
1.0442841453473 |
Real period |
R |
0.39440025131846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774k1 |
Quadratic twists by: -11 |