Atkin-Lehner |
2+ 3- 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882n |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-365598212069376 = -1 · 211 · 316 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11+ 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17625,188842] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-1119:1] |
Generators of the group modulo torsion |
j |
605545121746614167/365598212069376 |
j-invariant |
L |
4.1067865787818 |
L(r)(E,1)/r! |
Ω |
0.32957908997291 |
Real period |
R |
0.77879382819754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74646bu1 |
Quadratic twists by: -3 |