Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992go |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
5954238162367488 = 210 · 313 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-817680,-284568104] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:3465:1] |
Generators of the group modulo torsion |
j |
80992788772864000/7976249253 |
j-invariant |
L |
8.8387392610133 |
L(r)(E,1)/r! |
Ω |
0.15876555182093 |
Real period |
R |
4.6393036135337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992bb1 31248ch1 41664eh1 |
Quadratic twists by: -4 8 -3 |