Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338m |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
3618756 = 22 · 36 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-239,-1357] |
[a1,a2,a3,a4,a6] |
Generators |
[13064:40917:512] |
Generators of the group modulo torsion |
j |
2062933417/4964 |
j-invariant |
L |
9.3425049444792 |
L(r)(E,1)/r! |
Ω |
1.2148004205104 |
Real period |
R |
7.6905677564335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482c1 |
Quadratic twists by: -3 |