Atkin-Lehner |
2- 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158cb |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
413440 |
Modular degree for the optimal curve |
Δ |
-4504766875435008 = -1 · 219 · 311 · 7 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40675,-686811] |
[a1,a2,a3,a4,a6] |
Generators |
[383:8232:1] |
Generators of the group modulo torsion |
j |
10209133395200375/6179378429952 |
j-invariant |
L |
10.466474153903 |
L(r)(E,1)/r! |
Ω |
0.25303346538741 |
Real period |
R |
0.27213152410287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386f1 |
Quadratic twists by: -3 |