Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800l |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
10570802000 = 24 · 53 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-803,-7502] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:38:1] [-11:11:1] |
Generators of the group modulo torsion |
j |
28666923008/5285401 |
j-invariant |
L |
6.2288789587031 |
L(r)(E,1)/r! |
Ω |
0.90816693722057 |
Real period |
R |
0.85734223293887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600w1 41800ba1 |
Quadratic twists by: -4 5 |