Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400c |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
5130000000000 = 210 · 33 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297075,-62322750] |
[a1,a2,a3,a4,a6] |
j |
6711788809548/11875 |
j-invariant |
L |
3.271922846703 |
L(r)(E,1)/r! |
Ω |
0.20449517919604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200bs1 68400d1 13680a1 |
Quadratic twists by: -4 -3 5 |