Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232o |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-148712662101362688 = -1 · 211 · 311 · 75 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -3 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187851,36418394] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:7308:1] [-326:7938:1] |
Generators of the group modulo torsion |
j |
-491028574078226/99607139289 |
j-invariant |
L |
7.4173549231851 |
L(r)(E,1)/r! |
Ω |
0.31184729710047 |
Real period |
R |
0.099105061357375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14616m1 116928ef1 9744b1 |
Quadratic twists by: -4 8 -3 |