Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14800bb |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
2368000000 = 212 · 56 · 37 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 5 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:25:1] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
3.0961891449735 |
L(r)(E,1)/r! |
Ω |
1.0962946594887 |
Real period |
R |
1.4121154008072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
925e1 59200cn1 592c1 |
Quadratic twists by: -4 8 5 |