Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450cc |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-7624435223520000 = -1 · 28 · 319 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-634505,-194422903] |
[a1,a2,a3,a4,a6] |
Generators |
[1779:64720:1] |
Generators of the group modulo torsion |
j |
-62004137551272025/16734014208 |
j-invariant |
L |
7.5661080461221 |
L(r)(E,1)/r! |
Ω |
0.084577300402164 |
Real period |
R |
0.93185316988934 |
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 |
6150s1 18450m1 |
Quadratic twists by: -3 5 |