Atkin-Lehner |
5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
34675a |
Isogeny class |
Conductor |
34675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-21671875 = -1 · 56 · 19 · 73 |
Discriminant |
Eigenvalues |
2 0 5+ 0 -2 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,25,-219] |
[a1,a2,a3,a4,a6] |
j |
110592/1387 |
j-invariant |
L |
2.1097879427911 |
L(r)(E,1)/r! |
Ω |
1.0548939714014 |
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 |
1387a1 |
Quadratic twists by: 5 |