Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600cg |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
219520 |
Modular degree for the optimal curve |
Δ |
-1526343750000 = -1 · 24 · 36 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25875,-1603125] |
[a1,a2,a3,a4,a6] |
j |
-84098304/67 |
j-invariant |
L |
3.0112631266319 |
L(r)(E,1)/r! |
Ω |
0.18820394391489 |
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 |
13400h1 120600bf1 |
Quadratic twists by: -3 5 |