Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2664d |
Isogeny class |
Conductor |
2664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-766464768 = -1 · 28 · 37 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,1330] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
21296/4107 |
j-invariant |
L |
2.6271182605765 |
L(r)(E,1)/r! |
Ω |
1.232754195509 |
Real period |
R |
1.0655482942777 |
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 |
5328h2 21312o2 888d2 66600bi2 |
Quadratic twists by: -4 8 -3 5 |