Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342i |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2101135483222272 = 28 · 38 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-881568,-318361856] |
[a1,a2,a3,a4,a6] |
Generators |
[-4338:2855:8] |
Generators of the group modulo torsion |
j |
883437180088177/24498432 |
j-invariant |
L |
3.005488331739 |
L(r)(E,1)/r! |
Ω |
0.15580676120038 |
Real period |
R |
2.4112306717178 |
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 |
9114s1 3906g1 |
Quadratic twists by: -3 -7 |