Atkin-Lehner |
2- 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110768u |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-311242129408 = -1 · 217 · 74 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3491,-83806] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-1568:1] |
Generators of the group modulo torsion |
j |
-1148717693817/75986848 |
j-invariant |
L |
4.9076074379594 |
L(r)(E,1)/r! |
Ω |
0.30936868183704 |
Real period |
R |
0.99145608848353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13846a1 |
Quadratic twists by: -4 |