Atkin-Lehner |
2- 3- 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510bf |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
87120 |
Modular degree for the optimal curve |
Δ |
-8502589440 = -1 · 211 · 36 · 5 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,508,-601] |
[a1,a2,a3,a4,a6] |
j |
19924551431/11663360 |
j-invariant |
L |
8.4624560573211 |
L(r)(E,1)/r! |
Ω |
0.76931420786201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11390b1 |
Quadratic twists by: -3 |