Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20570b |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-7894869475328000 = -1 · 221 · 53 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11- 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48276,1271466] |
[a1,a2,a3,a4,a6] |
Generators |
[19638:967131:8] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
3.5349142421078 |
L(r)(E,1)/r! |
Ω |
0.25847792858776 |
Real period |
R |
6.8379421434963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cb1 170c1 |
Quadratic twists by: 5 -11 |