Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605a |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-746722760825202875 = -1 · 53 · 79 · 236 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,224649,-7068993] |
[a1,a2,a3,a4,a6] |
Generators |
[100690:4069097:1000] |
Generators of the group modulo torsion |
j |
71991296/42875 |
j-invariant |
L |
3.8347837850016 |
L(r)(E,1)/r! |
Ω |
0.16619149866739 |
Real period |
R |
5.7686219928424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515i2 245c2 |
Quadratic twists by: -7 -23 |