Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24800o |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
4805000000 = 26 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425,-500] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:50:1] |
Generators of the group modulo torsion |
j |
8489664/4805 |
j-invariant |
L |
4.0799436920503 |
L(r)(E,1)/r! |
Ω |
1.1339966997392 |
Real period |
R |
0.89946110358798 |
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 |
24800a1 49600s2 4960a1 |
Quadratic twists by: -4 8 5 |