Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232bg |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-17578487808 = -1 · 212 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371,20554] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:198:1] [15:-58:1] |
Generators of the group modulo torsion |
j |
-95443993/5887 |
j-invariant |
L |
7.1125009132057 |
L(r)(E,1)/r! |
Ω |
1.2116309698374 |
Real period |
R |
1.4675468625071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1827d1 116928dk1 3248h1 |
Quadratic twists by: -4 8 -3 |