Atkin-Lehner |
2+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32984b |
Isogeny class |
Conductor |
32984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
2045008 = 24 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,33] |
[a1,a2,a3,a4,a6] |
j |
271669248/127813 |
j-invariant |
L |
2.3362437626204 |
L(r)(E,1)/r! |
Ω |
2.3362437626193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65968d1 |
Quadratic twists by: -4 |