Atkin-Lehner |
13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4901c |
Isogeny class |
Conductor |
4901 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
1819706993 = 137 · 29 |
Discriminant |
Eigenvalues |
-1 0 2 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1384,20050] |
[a1,a2,a3,a4,a6] |
j |
60698457/377 |
j-invariant |
L |
1.4936339986819 |
L(r)(E,1)/r! |
Ω |
1.4936339986819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78416r1 44109s1 122525h1 377a1 |
Quadratic twists by: -4 -3 5 13 |