Atkin-Lehner |
3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
8967f |
Isogeny class |
Conductor |
8967 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-211119312785655267 = -1 · 36 · 715 · 61 |
Discriminant |
Eigenvalues |
2 3+ 0 7- 4 -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-79298,-23692243] |
[a1,a2,a3,a4,a6] |
Generators |
[6109702706:-148427671703:8242408] |
Generators of the group modulo torsion |
j |
-468735288832000/1794484549683 |
j-invariant |
L |
7.2202692902703 |
L(r)(E,1)/r! |
Ω |
0.13006976739169 |
Real period |
R |
13.877685481914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26901y1 1281d1 |
Quadratic twists by: -3 -7 |