Atkin-Lehner |
3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47937f |
Isogeny class |
Conductor |
47937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-101714787891 = -1 · 32 · 19 · 296 |
Discriminant |
Eigenvalues |
2 3- -3 -5 -1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1962,36155] |
[a1,a2,a3,a4,a6] |
Generators |
[442:2519:8] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
8.7066734089595 |
L(r)(E,1)/r! |
Ω |
1.0316312908404 |
Real period |
R |
2.1099285874261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57a1 |
Quadratic twists by: 29 |