Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fo |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1536288768000000000 = 220 · 37 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-289875,7231250] |
[a1,a2,a3,a4,a6] |
Generators |
[-359:8064:1] |
Generators of the group modulo torsion |
j |
461889917/263424 |
j-invariant |
L |
6.1782921300845 |
L(r)(E,1)/r! |
Ω |
0.2298423612756 |
Real period |
R |
1.1200234688019 |
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 |
3150q1 100800pr1 8400bv1 25200ex1 |
Quadratic twists by: -4 8 -3 5 |