Atkin-Lehner |
5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12425g |
Isogeny class |
Conductor |
12425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35904 |
Modular degree for the optimal curve |
Δ |
-1245963013932875 = -1 · 53 · 711 · 712 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 3 -1 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33993,2938849] |
[a1,a2,a3,a4,a6] |
j |
-34753212658221056/9967704111463 |
j-invariant |
L |
1.8393205403073 |
L(r)(E,1)/r! |
Ω |
0.45983013507682 |
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 |
111825r1 12425h1 86975y1 |
Quadratic twists by: -3 5 -7 |