Atkin-Lehner |
5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49855a |
Isogeny class |
Conductor |
49855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-462770312875 = -1 · 53 · 137 · 59 |
Discriminant |
Eigenvalues |
1 2 5+ -5 -5 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8453,-304468] |
[a1,a2,a3,a4,a6] |
Generators |
[25962:129317:216] |
Generators of the group modulo torsion |
j |
-13841287201/95875 |
j-invariant |
L |
5.5094737938245 |
L(r)(E,1)/r! |
Ω |
0.24884587366411 |
Real period |
R |
5.5350262721941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3835b1 |
Quadratic twists by: 13 |