Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bb |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-3503614400498756544 = -1 · 26 · 3 · 75 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-826235,-302842234] |
[a1,a2,a3,a4,a6] |
j |
-46865760129834695603/2632317355746624 |
j-invariant |
L |
3.1567453567148 |
L(r)(E,1)/r! |
Ω |
0.07891863394955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066cg1 |
Quadratic twists by: -11 |