Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800bd |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
11610000000000 = 210 · 33 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,-224512] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:150:1] |
Generators of the group modulo torsion |
j |
3550014724/725625 |
j-invariant |
L |
5.9426763744086 |
L(r)(E,1)/r! |
Ω |
0.5119235420049 |
Real period |
R |
1.9347538863371 |
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 |
51600i1 77400e1 5160c1 |
Quadratic twists by: -4 -3 5 |