Atkin-Lehner |
2- 3+ 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bg |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36352 |
Modular degree for the optimal curve |
Δ |
-3529764 = -1 · 22 · 33 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2783,57195] |
[a1,a2,a3,a4,a6] |
Generators |
[35:24:1] |
Generators of the group modulo torsion |
j |
-88257832883667/130732 |
j-invariant |
L |
9.6973430327457 |
L(r)(E,1)/r! |
Ω |
2.1269096115958 |
Real period |
R |
0.56991979006244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042d1 |
Quadratic twists by: -3 |