Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694f |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5398536 = 23 · 3 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 11+ 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
158171/24 |
j-invariant |
L |
2.2143949588121 |
L(r)(E,1)/r! |
Ω |
1.6762698666778 |
Real period |
R |
0.66051265291024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000205683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694bv1 122694bt1 |
Quadratic twists by: -11 13 |