Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912cc |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-39262227648 = -1 · 26 · 3 · 75 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19,9527] |
[a1,a2,a3,a4,a6] |
j |
-12487168/613472307 |
j-invariant |
L |
2.7526393740155 |
L(r)(E,1)/r! |
Ω |
0.91754645800493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30912bo1 15456j1 92736dw1 |
Quadratic twists by: -4 8 -3 |