Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992fy |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
285749710848 = 212 · 38 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127524,-17528128] |
[a1,a2,a3,a4,a6] |
j |
76808983160512/95697 |
j-invariant |
L |
3.0316770594326 |
L(r)(E,1)/r! |
Ω |
0.25263970496252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ez1 62496bt1 41664cw1 |
Quadratic twists by: -4 8 -3 |