Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830i |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-185710145249250 = -1 · 2 · 33 · 53 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2383,655119] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:513:1] |
Generators of the group modulo torsion |
j |
1685159/209250 |
j-invariant |
L |
3.4464734124225 |
L(r)(E,1)/r! |
Ω |
0.43672428536654 |
Real period |
R |
0.65763715764242 |
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 |
86490cd1 930i1 |
Quadratic twists by: -3 -31 |