Atkin-Lehner |
2- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
37024d |
Isogeny class |
Conductor |
37024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13184 |
Modular degree for the optimal curve |
Δ |
74048 = 26 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 -4 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1542,-23828] |
[a1,a2,a3,a4,a6] |
Generators |
[95810:846821:1000] |
Generators of the group modulo torsion |
j |
6339842552512/1157 |
j-invariant |
L |
3.574007839793 |
L(r)(E,1)/r! |
Ω |
0.76182461039987 |
Real period |
R |
9.3827576347719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37024b1 74048n2 |
Quadratic twists by: -4 8 |