Atkin-Lehner |
2+ 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128g |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
558144 |
Modular degree for the optimal curve |
Δ |
-31284979327728 = -1 · 24 · 318 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 6 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6680,-339219] |
[a1,a2,a3,a4,a6] |
Generators |
[6692:19683:64] |
Generators of the group modulo torsion |
j |
-42053490567424/39904310367 |
j-invariant |
L |
2.9350670663334 |
L(r)(E,1)/r! |
Ω |
0.25416829014626 |
Real period |
R |
2.8869328329359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997910634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128h1 |
Quadratic twists by: -7 |