Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200f |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
36900000000 = 28 · 32 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2908,-58688] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:24:1] |
Generators of the group modulo torsion |
j |
680136784/9225 |
j-invariant |
L |
4.9095876508447 |
L(r)(E,1)/r! |
Ω |
0.65064637650177 |
Real period |
R |
1.8864270317059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600p1 9840g1 |
Quadratic twists by: -4 5 |