Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65892k |
Isogeny class |
Conductor |
65892 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
213840 |
Modular degree for the optimal curve |
Δ |
-7996142852352 = -1 · 28 · 39 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -1 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5876,-222348] |
[a1,a2,a3,a4,a6] |
j |
-1049560144/373977 |
j-invariant |
L |
7.2319484513218 |
L(r)(E,1)/r! |
Ω |
0.26784994304871 |
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 |
65892a1 |
Quadratic twists by: 17 |