Atkin-Lehner |
2- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050o |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-623720780800 = -1 · 210 · 52 · 13 · 374 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1052,-35568] |
[a1,a2,a3,a4,a6] |
Generators |
[36:204:1] |
Generators of the group modulo torsion |
j |
5149975001495/24948831232 |
j-invariant |
L |
5.8553484971783 |
L(r)(E,1)/r! |
Ω |
0.46002659507695 |
Real period |
R |
0.31820706453932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24050k1 |
Quadratic twists by: 5 |