Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297f |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
789687500217 = 3 · 76 · 113 · 412 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3406,-64889] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:1031:8] |
Generators of the group modulo torsion |
j |
37159393753/6712233 |
j-invariant |
L |
3.3937977079683 |
L(r)(E,1)/r! |
Ω |
0.63267956153884 |
Real period |
R |
1.788055077949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1353d1 |
Quadratic twists by: -7 |