Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91960be |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2867200 |
Modular degree for the optimal curve |
Δ |
-3287076074218750000 = -1 · 24 · 514 · 116 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3150275,2152858750] |
[a1,a2,a3,a4,a6] |
Generators |
[1075:-3125:1] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
4.1812630900858 |
L(r)(E,1)/r! |
Ω |
0.25008259002425 |
Real period |
R |
0.59712603127752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
760b1 |
Quadratic twists by: -11 |