Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320g |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130690560 |
Modular degree for the optimal curve |
Δ |
-3.157670578839E+30 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -3 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523472003,-98438059332002] |
[a1,a2,a3,a4,a6] |
j |
-81827458276332553146/145394071242004375 |
j-invariant |
L |
0.36184074350876 |
L(r)(E,1)/r! |
Ω |
0.010051131771256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640s1 47320bl1 |
Quadratic twists by: -4 13 |