Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gw |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
472361766912 = 212 · 312 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1956,3904] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:108:1] |
Generators of the group modulo torsion |
j |
277167808/158193 |
j-invariant |
L |
6.595871697798 |
L(r)(E,1)/r! |
Ω |
0.8015656989006 |
Real period |
R |
2.0571837496299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999661029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992eo1 62496ca1 41664ek1 |
Quadratic twists by: -4 8 -3 |