Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424h |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30707712 = -1 · 212 · 32 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,207] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
6644672/7497 |
j-invariant |
L |
5.8379524809152 |
L(r)(E,1)/r! |
Ω |
1.389396351671 |
Real period |
R |
1.0504476411454 |
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 |
11424p2 22848i1 34272bf2 79968k2 |
Quadratic twists by: -4 8 -3 -7 |