Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400bd |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-23667200 = -1 · 29 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3688,84988] |
[a1,a2,a3,a4,a6] |
Generators |
[282:43:8] |
Generators of the group modulo torsion |
j |
-433515103880/1849 |
j-invariant |
L |
4.4372376554289 |
L(r)(E,1)/r! |
Ω |
1.8791296519968 |
Real period |
R |
1.1806629869083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400a1 68800i1 34400m1 |
Quadratic twists by: -4 8 5 |