Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400bg |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
189540000000 = 28 · 36 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4575,117250] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:450:1] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
5.2394075445057 |
L(r)(E,1)/r! |
Ω |
1.0097433533375 |
Real period |
R |
0.64860634229328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800m1 2600a1 4680e1 |
Quadratic twists by: -4 -3 5 |