Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912cf |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-5768921088 = -1 · 214 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,-3645] |
[a1,a2,a3,a4,a6] |
j |
128000/352107 |
j-invariant |
L |
4.3816563134527 |
L(r)(E,1)/r! |
Ω |
0.62595090192156 |
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 |
30912c1 7728d1 92736ff1 |
Quadratic twists by: -4 8 -3 |