Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188v |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-5276035708272 = -1 · 24 · 315 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 5 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8589,-325703] |
[a1,a2,a3,a4,a6] |
j |
-17514989824/1318761 |
j-invariant |
L |
3.9502925792592 |
L(r)(E,1)/r! |
Ω |
0.24689328108686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396k1 118188w1 |
Quadratic twists by: -3 -7 |