Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18424f |
Isogeny class |
Conductor |
18424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-95164781487104 = -1 · 210 · 711 · 47 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 1 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47056,-3941188] |
[a1,a2,a3,a4,a6] |
j |
-95651055364/789929 |
j-invariant |
L |
1.295958055288 |
L(r)(E,1)/r! |
Ω |
0.16199475691099 |
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 |
36848c1 2632d1 |
Quadratic twists by: -4 -7 |