Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57152j |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-22004891648 = -1 · 219 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 4 -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889,31775] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:188:1] [23:-32:1] |
Generators of the group modulo torsion |
j |
-2845178713/83942 |
j-invariant |
L |
10.104821615373 |
L(r)(E,1)/r! |
Ω |
1.2025700357315 |
Real period |
R |
1.0503360838805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152g1 14288b1 |
Quadratic twists by: -4 8 |