Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cr |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2649600 |
Modular degree for the optimal curve |
Δ |
-3044731107725280000 = -1 · 28 · 35 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129781,-85902625] |
[a1,a2,a3,a4,a6] |
j |
-12058624/151875 |
j-invariant |
L |
2.1600474211334 |
L(r)(E,1)/r! |
Ω |
0.10800240882004 |
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 |
31740a1 126960df1 |
Quadratic twists by: -4 -23 |