Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150bi |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-58403638716750 = -1 · 2 · 320 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,288,-367754] |
[a1,a2,a3,a4,a6] |
j |
28934443/640917846 |
j-invariant |
L |
1.1543426224649 |
L(r)(E,1)/r! |
Ω |
0.28858565561586 |
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 |
10050bd1 30150cr1 |
Quadratic twists by: -3 5 |