Atkin-Lehner |
2+ 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674h |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4878720 |
Modular degree for the optimal curve |
Δ |
84743914762581256 = 23 · 710 · 135 · 101 |
Discriminant |
Eigenvalues |
2+ -3 3 7- -2 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-896023,326381173] |
[a1,a2,a3,a4,a6] |
Generators |
[-131537:8561435:343] |
Generators of the group modulo torsion |
j |
281644359307353/300004744 |
j-invariant |
L |
3.7048415258954 |
L(r)(E,1)/r! |
Ω |
0.33964072190269 |
Real period |
R |
10.908119473495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998739944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674b1 |
Quadratic twists by: -7 |