Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18620l |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-53774560000 = -1 · 28 · 54 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1325,-21223] |
[a1,a2,a3,a4,a6] |
j |
-20524048384/4286875 |
j-invariant |
L |
4.6949424929654 |
L(r)(E,1)/r! |
Ω |
0.39124520774712 |
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 |
74480cy1 93100n1 18620c1 |
Quadratic twists by: -4 5 -7 |