Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bd |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-292515840 = -1 · 212 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,695] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] |
Generators of the group modulo torsion |
j |
45118016/71415 |
j-invariant |
L |
6.2813195364731 |
L(r)(E,1)/r! |
Ω |
1.1790009378188 |
Real period |
R |
0.88794381397947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080e1 11040e1 66240ci1 110400c1 |
Quadratic twists by: -4 8 -3 5 |