Atkin-Lehner |
3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
98637b |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
190512 |
Modular degree for the optimal curve |
Δ |
1404149873973 = 3 · 78 · 113 · 61 |
Discriminant |
Eigenvalues |
0 3+ 4 7+ 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3201,-39061] |
[a1,a2,a3,a4,a6] |
j |
629407744/243573 |
j-invariant |
L |
1.967683452615 |
L(r)(E,1)/r! |
Ω |
0.65589448744843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98637q1 |
Quadratic twists by: -7 |