Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320o |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
231840000 = 28 · 32 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516,-4284] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
59466754384/905625 |
j-invariant |
L |
3.4545049871326 |
L(r)(E,1)/r! |
Ω |
1.0024615652515 |
Real period |
R |
0.86150559454764 |
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 |
38640s1 57960bb1 96600be1 |
Quadratic twists by: -4 -3 5 |