Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928t |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
-523717705728 = -1 · 217 · 39 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 5 5 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,36720] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:216:1] |
Generators of the group modulo torsion |
j |
-39366/203 |
j-invariant |
L |
5.4098767895302 |
L(r)(E,1)/r! |
Ω |
0.80313223359022 |
Real period |
R |
1.6839931646973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928cw1 14616b1 116928o1 |
Quadratic twists by: -4 8 -3 |