Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
122210k |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
-23815271679100 = -1 · 22 · 52 · 119 · 101 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636,235489] |
[a1,a2,a3,a4,a6] |
Generators |
[233183116:2499125045:1906624] |
Generators of the group modulo torsion |
j |
-205379/10100 |
j-invariant |
L |
15.585869115249 |
L(r)(E,1)/r! |
Ω |
0.55906092787594 |
Real period |
R |
13.939329664161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122210b1 |
Quadratic twists by: -11 |