Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200df |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
195880550400000000 = 224 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-206408,-29212812] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:2250:1] |
Generators of the group modulo torsion |
j |
15195864748609/3060633600 |
j-invariant |
L |
7.3198525937967 |
L(r)(E,1)/r! |
Ω |
0.22714468336777 |
Real period |
R |
1.3427294601586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150c1 9840l1 |
Quadratic twists by: -4 5 |