Atkin-Lehner |
3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
9999i |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
2429757 = 37 · 11 · 101 |
Discriminant |
Eigenvalues |
0 3- -4 3 11+ 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,1021] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
1073741824/3333 |
j-invariant |
L |
2.6895131662054 |
L(r)(E,1)/r! |
Ω |
2.5888738482142 |
Real period |
R |
0.51943689107537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333c1 109989g1 |
Quadratic twists by: -3 -11 |