Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8652a |
Isogeny class |
Conductor |
8652 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
581656656 = 24 · 3 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,490] |
[a1,a2,a3,a4,a6] |
j |
70954958848/36353541 |
j-invariant |
L |
2.1616029623562 |
L(r)(E,1)/r! |
Ω |
1.4410686415708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34608bg1 25956g1 60564k1 |
Quadratic twists by: -4 -3 -7 |