Atkin-Lehner |
3- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2679d |
Isogeny class |
Conductor |
2679 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
458109 = 33 · 192 · 47 |
Discriminant |
Eigenvalues |
0 3- 1 -3 3 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35,62] |
[a1,a2,a3,a4,a6] |
Generators |
[10:28:1] |
Generators of the group modulo torsion |
j |
4878401536/458109 |
j-invariant |
L |
3.2307537807917 |
L(r)(E,1)/r! |
Ω |
2.8840963568795 |
Real period |
R |
0.1866993667465 |
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 |
42864b1 8037a1 66975a1 50901d1 |
Quadratic twists by: -4 -3 5 -19 |