Atkin-Lehner |
2+ 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072i |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-14888851056 = -1 · 24 · 312 · 17 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 3 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,9083] |
[a1,a2,a3,a4,a6] |
Generators |
[43:243:1] |
Generators of the group modulo torsion |
j |
-3074301184/1276479 |
j-invariant |
L |
7.5380553795216 |
L(r)(E,1)/r! |
Ω |
1.1689178241126 |
Real period |
R |
0.80609338301592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42024f1 |
Quadratic twists by: -3 |