Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775t |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-2323269136249425 = -1 · 311 · 52 · 79 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94718,-11496724] |
[a1,a2,a3,a4,a6] |
Generators |
[9559444:78939700:24389] |
Generators of the group modulo torsion |
j |
-93153502255/2302911 |
j-invariant |
L |
2.7616896761357 |
L(r)(E,1)/r! |
Ω |
0.13587109207317 |
Real period |
R |
10.162903801013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775dh1 47775ci1 |
Quadratic twists by: 5 -7 |