Atkin-Lehner |
3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925c |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
-1826982421875 = -1 · 33 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,75,65031] |
[a1,a2,a3,a4,a6] |
j |
110592/4330625 |
j-invariant |
L |
5.2815168328132 |
L(r)(E,1)/r! |
Ω |
0.66018959612245 |
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 |
119925f1 23985c1 |
Quadratic twists by: -3 5 |