Atkin-Lehner |
2- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450n |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-9.2890625E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -3 3 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1530812,1272446992] |
[a1,a2,a3,a4,a6] |
Generators |
[2472:140764:1] |
Generators of the group modulo torsion |
j |
25390382434823596679/59450000000000000 |
j-invariant |
L |
12.531465122 |
L(r)(E,1)/r! |
Ω |
0.10943343117136 |
Real period |
R |
4.4043161454513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11890b1 |
Quadratic twists by: 5 |