Atkin-Lehner |
5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110515d |
Isogeny class |
Conductor |
110515 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1969929875 = -1 · 53 · 232 · 313 |
Discriminant |
Eigenvalues |
0 -1 5- 4 -2 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-165,-2232] |
[a1,a2,a3,a4,a6] |
Generators |
[52:356:1] |
Generators of the group modulo torsion |
j |
-16777216/66125 |
j-invariant |
L |
6.0362578696595 |
L(r)(E,1)/r! |
Ω |
0.60787931147008 |
Real period |
R |
0.82750224182643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999232019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110515g1 |
Quadratic twists by: -31 |