Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34545v |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-82648254482521875 = -1 · 314 · 55 · 76 · 47 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 2 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-283285,-59754194] |
[a1,a2,a3,a4,a6] |
Generators |
[1430:-49613:1] |
Generators of the group modulo torsion |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
6.4353632584866 |
L(r)(E,1)/r! |
Ω |
0.10327001323494 |
Real period |
R |
0.4451135327463 |
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 |
103635k1 705a1 |
Quadratic twists by: -3 -7 |