Atkin-Lehner |
2- 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bo |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3316664232 = 23 · 310 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 6 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6647,210215] |
[a1,a2,a3,a4,a6] |
Generators |
[45:4:1] |
Generators of the group modulo torsion |
j |
44546333623849/4549608 |
j-invariant |
L |
9.3382350335153 |
L(r)(E,1)/r! |
Ω |
1.3546088497915 |
Real period |
R |
1.1489460554301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126k1 |
Quadratic twists by: -3 |