Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160bh |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
74988032000 = 212 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2280,39028] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:280:1] |
Generators of the group modulo torsion |
j |
320153881321/18307625 |
j-invariant |
L |
4.1137214697619 |
L(r)(E,1)/r! |
Ω |
1.0731473101012 |
Real period |
R |
0.31944367679387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2135e1 |
Quadratic twists by: -4 |