Atkin-Lehner |
3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
11925f |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-2037498046875 = -1 · 39 · 59 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 6 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,675,-68344] |
[a1,a2,a3,a4,a6] |
j |
110592/6625 |
j-invariant |
L |
1.5809298874612 |
L(r)(E,1)/r! |
Ω |
0.3952324718653 |
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 |
11925b1 2385a1 |
Quadratic twists by: -3 5 |