Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200gg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-490105884863692800 = -1 · 216 · 36 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 4 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,195405,-5398670] |
[a1,a2,a3,a4,a6] |
j |
11053587253415/6565418768 |
j-invariant |
L |
2.4123114396874 |
L(r)(E,1)/r! |
Ω |
0.17230796007246 |
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 |
7650ba1 6800j1 61200gz1 |
Quadratic twists by: -4 -3 5 |