Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224r |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3259219968 = -1 · 214 · 32 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-984,12528] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:128:1] [12:48:1] |
Generators of the group modulo torsion |
j |
-25750777177/795708 |
j-invariant |
L |
6.1134772711405 |
L(r)(E,1)/r! |
Ω |
1.409230565498 |
Real period |
R |
1.0845417032555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278i1 102672by1 |
Quadratic twists by: -4 -3 |