Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680de |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1320476774400000000 = 218 · 36 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-444225,99502623] |
[a1,a2,a3,a4,a6] |
Generators |
[-309:14400:1] |
Generators of the group modulo torsion |
j |
36982286260265809/5037219140625 |
j-invariant |
L |
10.226765506484 |
L(r)(E,1)/r! |
Ω |
0.26103765013425 |
Real period |
R |
0.81619495690628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052389 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680eh2 1995a2 |
Quadratic twists by: -4 8 |