Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bn |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-33999257600 = -1 · 215 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656,11200] |
[a1,a2,a3,a4,a6] |
Generators |
[18:70:1] [-24:112:1] |
Generators of the group modulo torsion |
j |
-63088729/68600 |
j-invariant |
L |
8.2035691708891 |
L(r)(E,1)/r! |
Ω |
1.0570259265171 |
Real period |
R |
0.32337464346399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470r1 67760bc1 |
Quadratic twists by: -4 -11 |