Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dg |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
205200 = 24 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-645,-6305] |
[a1,a2,a3,a4,a6] |
j |
2747761920/19 |
j-invariant |
L |
1.8946971519729 |
L(r)(E,1)/r! |
Ω |
0.94734857502758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100c1 68400df2 68400ds1 |
Quadratic twists by: -4 -3 5 |