Atkin-Lehner |
2- 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
126540h |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
695808 |
Modular degree for the optimal curve |
Δ |
-8082370978560 = -1 · 28 · 38 · 5 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387048,-92682092] |
[a1,a2,a3,a4,a6] |
j |
-34359805873217536/43308315 |
j-invariant |
L |
1.1484454012855 |
L(r)(E,1)/r! |
Ω |
0.095703609847909 |
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 |
42180h1 |
Quadratic twists by: -3 |