Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200x |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-12451507200 = -1 · 210 · 32 · 52 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,352,4848] |
[a1,a2,a3,a4,a6] |
Generators |
[52:408:1] |
Generators of the group modulo torsion |
j |
187878620/486387 |
j-invariant |
L |
7.6332889353438 |
L(r)(E,1)/r! |
Ω |
0.88580791896138 |
Real period |
R |
0.71810987018239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200bt1 |
Quadratic twists by: 5 |