Atkin-Lehner |
2+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194c |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-611068906 = -1 · 2 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 3 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254,-1898] |
[a1,a2,a3,a4,a6] |
j |
-15438249/5194 |
j-invariant |
L |
1.1756407127731 |
L(r)(E,1)/r! |
Ω |
0.58782035638656 |
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 |
41552x1 46746bs1 129850cp1 742a1 |
Quadratic twists by: -4 -3 5 -7 |