Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200bq |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-2172723200000000 = -1 · 219 · 58 · 1032 |
Discriminant |
Eigenvalues |
2- 3 5- 2 3 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233875,43591250] |
[a1,a2,a3,a4,a6] |
Generators |
[12675:164800:27] |
Generators of the group modulo torsion |
j |
-884209406985/1357952 |
j-invariant |
L |
11.58360041325 |
L(r)(E,1)/r! |
Ω |
0.46252680481641 |
Real period |
R |
1.0435071269229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150i1 41200bj1 |
Quadratic twists by: -4 5 |