Atkin-Lehner |
2+ 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158r |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
-89577671708843136 = -1 · 27 · 313 · 77 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1402254,-638940204] |
[a1,a2,a3,a4,a6] |
j |
-418288977642645996769/122877464621184 |
j-invariant |
L |
0.97114315813848 |
L(r)(E,1)/r! |
Ω |
0.069367368457763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386w1 |
Quadratic twists by: -3 |