Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975m |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-7412109375 = -1 · 3 · 510 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,187,-4008] |
[a1,a2,a3,a4,a6] |
Generators |
[831:4349:27] |
Generators of the group modulo torsion |
j |
46268279/474375 |
j-invariant |
L |
3.8715938630485 |
L(r)(E,1)/r! |
Ω |
0.65176590295112 |
Real period |
R |
5.9401601794731 |
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 |
56925t1 3795c1 |
Quadratic twists by: -3 5 |