Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
4970d |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
3989995520 = 215 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -5 5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1547,22589] |
[a1,a2,a3,a4,a6] |
Generators |
[19:13:1] |
Generators of the group modulo torsion |
j |
409857819530041/3989995520 |
j-invariant |
L |
3.9750932392677 |
L(r)(E,1)/r! |
Ω |
1.3979408499654 |
Real period |
R |
2.8435346455225 |
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 |
39760bf1 44730bi1 24850z1 34790f1 |
Quadratic twists by: -4 -3 5 -7 |