Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600v |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-389939200 = -1 · 217 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -5 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,1428] |
[a1,a2,a3,a4,a6] |
Generators |
[2:32:1] |
Generators of the group modulo torsion |
j |
-9765625/3808 |
j-invariant |
L |
3.1583369315201 |
L(r)(E,1)/r! |
Ω |
1.5866428672045 |
Real period |
R |
0.49764458606498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950q1 47600bn1 |
Quadratic twists by: -4 5 |