Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480d |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
155867040000 = 28 · 32 · 54 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1436,-8364] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:36:1] |
Generators of the group modulo torsion |
j |
1280116410064/608855625 |
j-invariant |
L |
4.9601834316333 |
L(r)(E,1)/r! |
Ω |
0.81266229529163 |
Real period |
R |
3.0518109800176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960o2 118440cl2 |
Quadratic twists by: -4 -3 |