Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960p |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-63542214422092800 = -1 · 210 · 36 · 52 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63304,-10443420] |
[a1,a2,a3,a4,a6] |
Generators |
[199:3174:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
9.9288105043544 |
L(r)(E,1)/r! |
Ω |
0.18113351019706 |
Real period |
R |
1.1419765497573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999894631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480j1 5520j1 |
Quadratic twists by: -4 -23 |