Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360be |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
440055752400 = 24 · 33 · 52 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4731,-122706] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:33:1] |
Generators of the group modulo torsion |
j |
732072963426304/27503484525 |
j-invariant |
L |
5.879290913049 |
L(r)(E,1)/r! |
Ω |
0.57697472336138 |
Real period |
R |
0.56610326193195 |
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 |
60720a1 91080s1 |
Quadratic twists by: -4 -3 |