Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bn |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1767324051612 = -1 · 22 · 312 · 72 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2047,52589] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2565:8] |
Generators of the group modulo torsion |
j |
1301812981559/2424312828 |
j-invariant |
L |
14.796487735525 |
L(r)(E,1)/r! |
Ω |
0.57622642940908 |
Real period |
R |
3.2097815531818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506q1 |
Quadratic twists by: -3 |