Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272v |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-157505216 = -1 · 26 · 113 · 432 |
Discriminant |
Eigenvalues |
2- 1 1 0 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4025,-99643] |
[a1,a2,a3,a4,a6] |
j |
-112706583998464/2461019 |
j-invariant |
L |
2.3974994412087 |
L(r)(E,1)/r! |
Ω |
0.29968743015111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272p1 7568n1 |
Quadratic twists by: -4 8 |