Atkin-Lehner |
2+ 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
22776b |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-46607348736 = -1 · 210 · 32 · 13 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -2 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,408,9756] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:6:1] [90:876:1] |
Generators of the group modulo torsion |
j |
7317106268/45514989 |
j-invariant |
L |
5.9628562804796 |
L(r)(E,1)/r! |
Ω |
0.8214130150274 |
Real period |
R |
0.60493890521498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45552f1 68328g1 |
Quadratic twists by: -4 -3 |