Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800g |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-226289709375000000 = -1 · 26 · 3 · 511 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3758,22888512] |
[a1,a2,a3,a4,a6] |
j |
-5870966464/226289709375 |
j-invariant |
L |
1.5050432966818 |
L(r)(E,1)/r! |
Ω |
0.25084054944112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800ba1 81600is1 122400cu1 8160p1 |
Quadratic twists by: -4 8 -3 5 |