Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
7434j |
Isogeny class |
Conductor |
7434 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-472088736 = -1 · 25 · 36 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1229,16917] |
[a1,a2,a3,a4,a6] |
Generators |
[35:108:1] |
Generators of the group modulo torsion |
j |
-281397674377/647584 |
j-invariant |
L |
5.3779676632331 |
L(r)(E,1)/r! |
Ω |
1.6660931420055 |
Real period |
R |
0.10759637877067 |
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 |
59472bb1 826b1 52038bi1 |
Quadratic twists by: -4 -3 -7 |