Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2233b |
Isogeny class |
Conductor |
2233 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-20657483 = -1 · 7 · 112 · 293 |
Discriminant |
Eigenvalues |
0 1 0 7- 11+ 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-63,271] |
[a1,a2,a3,a4,a6] |
Generators |
[31:170:1] |
Generators of the group modulo torsion |
j |
-28094464000/20657483 |
j-invariant |
L |
3.0774335441639 |
L(r)(E,1)/r! |
Ω |
1.9850402489624 |
Real period |
R |
2.3254693796051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35728v1 20097k1 55825d1 15631b1 |
Quadratic twists by: -4 -3 5 -7 |