Atkin-Lehner |
2+ 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834d |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1.1126355267811E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 3 -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1257264,743268096] |
[a1,a2,a3,a4,a6] |
Generators |
[4161:257808:1] |
Generators of the group modulo torsion |
j |
-301492018259600732929/152624900793014784 |
j-invariant |
L |
3.6465160831986 |
L(r)(E,1)/r! |
Ω |
0.17466173334165 |
Real period |
R |
0.52193975369319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672bv1 4278o1 |
Quadratic twists by: -4 -3 |