Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325n |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8956669921875 = -1 · 34 · 510 · 132 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 -2 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1492,142769] |
[a1,a2,a3,a4,a6] |
j |
23491948544/573226875 |
j-invariant |
L |
8.7798702869867 |
L(r)(E,1)/r! |
Ω |
0.54874189330632 |
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 |
13065k1 |
Quadratic twists by: 5 |