Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952ch |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
677387176704 = 28 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1534239,-731455046] |
[a1,a2,a3,a4,a6] |
Generators |
[-255950030:335748:357911] |
Generators of the group modulo torsion |
j |
10023392043504/17 |
j-invariant |
L |
6.2371679750281 |
L(r)(E,1)/r! |
Ω |
0.13565203090889 |
Real period |
R |
7.6631952368756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29988f1 119952bz1 119952cu1 |
Quadratic twists by: -4 -3 -7 |