Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580j |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3725568 |
Modular degree for the optimal curve |
Δ |
-7.7505380205871E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1065244,-18582584] |
[a1,a2,a3,a4,a6] |
j |
8624/5 |
j-invariant |
L |
0.34426060109694 |
L(r)(E,1)/r! |
Ω |
0.11475346647708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580s1 118580k1 |
Quadratic twists by: -7 -11 |