Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
5252b |
Isogeny class |
Conductor |
5252 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3428841728 = -1 · 28 · 13 · 1013 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2548,-50444] |
[a1,a2,a3,a4,a6] |
Generators |
[65538837:1041738830:250047] |
Generators of the group modulo torsion |
j |
-7149117778000/13393913 |
j-invariant |
L |
4.690216005704 |
L(r)(E,1)/r! |
Ω |
0.33593614859853 |
Real period |
R |
13.961629390796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21008i2 84032d2 47268g2 68276a2 |
Quadratic twists by: -4 8 -3 13 |