Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248x |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-731534852096 = -1 · 221 · 173 · 71 |
Discriminant |
Eigenvalues |
2- 3 1 -3 0 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15532,746192] |
[a1,a2,a3,a4,a6] |
Generators |
[1902:-1088:27] |
Generators of the group modulo torsion |
j |
-1580759992449/2790584 |
j-invariant |
L |
12.815141055191 |
L(r)(E,1)/r! |
Ω |
0.90163935344104 |
Real period |
R |
1.1844296916013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248m1 19312k1 |
Quadratic twists by: -4 8 |