Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bh |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-1.1997343393199E+19 |
Discriminant |
Eigenvalues |
2+ -3 5- -5 4 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1101772,-475301264] |
[a1,a2,a3,a4,a6] |
Generators |
[15086:1848320:1] |
Generators of the group modulo torsion |
j |
-11993263569/972800 |
j-invariant |
L |
3.2049883542665 |
L(r)(E,1)/r! |
Ω |
0.073338812434701 |
Real period |
R |
2.731320062276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520cz1 3610c1 6080h1 |
Quadratic twists by: -4 8 -19 |