Atkin-Lehner |
7- 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
101773i |
Isogeny class |
Conductor |
101773 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10416 |
Modular degree for the optimal curve |
Δ |
-101773 = -1 · 72 · 31 · 67 |
Discriminant |
Eigenvalues |
1 -2 0 7- -2 -7 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] [22:47:8] |
Generators of the group modulo torsion |
j |
1922375/2077 |
j-invariant |
L |
8.5948195954845 |
L(r)(E,1)/r! |
Ω |
2.228148393879 |
Real period |
R |
3.8573820390911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101773a1 |
Quadratic twists by: -7 |