Atkin-Lehner |
2- 3+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bb |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2573197956 = -1 · 22 · 39 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-2483] |
[a1,a2,a3,a4,a6] |
Generators |
[158:295:8] |
Generators of the group modulo torsion |
j |
-14348907/130732 |
j-invariant |
L |
10.481648555846 |
L(r)(E,1)/r! |
Ω |
0.61070988754937 |
Real period |
R |
2.1453821131549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042b1 |
Quadratic twists by: -3 |