Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204h |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-19666271781872 = -1 · 24 · 192 · 237 |
Discriminant |
Eigenvalues |
2- -1 4 2 6 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47786,-4010447] |
[a1,a2,a3,a4,a6] |
j |
-5095042816/8303 |
j-invariant |
L |
3.874471344799 |
L(r)(E,1)/r! |
Ω |
0.16143630602962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1748a1 |
Quadratic twists by: -23 |