Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188p |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-1946213051279616 = -1 · 28 · 39 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29841,-753914] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1764:1] [294:5782:1] |
Generators of the group modulo torsion |
j |
2731568/1809 |
j-invariant |
L |
9.3223492316086 |
L(r)(E,1)/r! |
Ω |
0.26602378999411 |
Real period |
R |
5.8405485931859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396j1 118188bk1 |
Quadratic twists by: -3 -7 |