Atkin-Lehner |
2- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
69350g |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
26353000000 = 26 · 56 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1305,16697] |
[a1,a2,a3,a4,a6] |
Generators |
[9:70:1] |
Generators of the group modulo torsion |
j |
15718937625/1686592 |
j-invariant |
L |
8.3961079935496 |
L(r)(E,1)/r! |
Ω |
1.1526332468146 |
Real period |
R |
1.2140473444104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2774a1 |
Quadratic twists by: 5 |