Atkin-Lehner |
2+ 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798h |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
81864349344576 = 26 · 33 · 197 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86286,-9782028] |
[a1,a2,a3,a4,a6] |
Generators |
[-1346:1395:8] |
Generators of the group modulo torsion |
j |
1510187880817/1740096 |
j-invariant |
L |
5.8837332806201 |
L(r)(E,1)/r! |
Ω |
0.27857610490038 |
Real period |
R |
2.6400923996362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042n1 |
Quadratic twists by: -19 |