Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848q |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-361304064 = -1 · 212 · 36 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,704] |
[a1,a2,a3,a4,a6] |
Generators |
[4:36:1] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
4.6697863410453 |
L(r)(E,1)/r! |
Ω |
1.1504017785756 |
Real period |
R |
1.0148163945876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848p1 69696ft1 3872l1 34848bx1 |
Quadratic twists by: -4 8 -3 -11 |