Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360g |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34442240 = 210 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,-7440] |
[a1,a2,a3,a4,a6] |
Generators |
[6846:1763:216] |
Generators of the group modulo torsion |
j |
43116861316/33635 |
j-invariant |
L |
6.8137462138297 |
L(r)(E,1)/r! |
Ω |
0.9165396905712 |
Real period |
R |
7.4342074696005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680l2 69440ec2 86800l2 121520u2 |
Quadratic twists by: -4 8 5 -7 |