Atkin-Lehner |
2+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614c |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-17565184 = -1 · 29 · 7 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48,158] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
74559407/103936 |
j-invariant |
L |
3.5350560143031 |
L(r)(E,1)/r! |
Ω |
1.4782153953761 |
Real period |
R |
2.391434986333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614x1 |
Quadratic twists by: 13 |