Atkin-Lehner |
7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55811l |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-92982660188579 = -1 · 710 · 173 · 67 |
Discriminant |
Eigenvalues |
2 -3 2 7- -3 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1421,-463479] |
[a1,a2,a3,a4,a6] |
Generators |
[6930:204081:8] |
Generators of the group modulo torsion |
j |
2697228288/790339571 |
j-invariant |
L |
8.2239587698079 |
L(r)(E,1)/r! |
Ω |
0.28274556194779 |
Real period |
R |
2.4238396272888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973b1 |
Quadratic twists by: -7 |