Atkin-Lehner |
2+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248g |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
11745535983616 = 223 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ -3 3 3 -2 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29356,-1928912] |
[a1,a2,a3,a4,a6] |
Generators |
[-12930:3712:125] |
Generators of the group modulo torsion |
j |
10672703078913/44805664 |
j-invariant |
L |
6.2238789308207 |
L(r)(E,1)/r! |
Ω |
0.36482536104278 |
Real period |
R |
4.2649714004206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248bo1 2914e1 |
Quadratic twists by: -4 8 |