Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992r |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-31193792 = -1 · 26 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 1 4 7- -2 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,17] |
[a1,a2,a3,a4,a6] |
Generators |
[8:35:1] |
Generators of the group modulo torsion |
j |
841232384/487403 |
j-invariant |
L |
6.900571634202 |
L(r)(E,1)/r! |
Ω |
1.2393521274982 |
Real period |
R |
1.1135772442868 |
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 |
12992bb1 203a1 116928ce1 90944bx1 |
Quadratic twists by: -4 8 -3 -7 |