Atkin-Lehner |
2+ 3+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456d |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-1123421239296 = -1 · 211 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 2 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,-64422] |
[a1,a2,a3,a4,a6] |
Generators |
[58:62:1] |
Generators of the group modulo torsion |
j |
-28697814/27869 |
j-invariant |
L |
7.4286462431767 |
L(r)(E,1)/r! |
Ω |
0.33580228551217 |
Real period |
R |
2.7652604511115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728i1 129456b1 |
Quadratic twists by: -4 -3 |