Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008j |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-63898610434048 = -1 · 217 · 136 · 101 |
Discriminant |
Eigenvalues |
2- 2 0 1 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9992,8304] |
[a1,a2,a3,a4,a6] |
Generators |
[636:16224:1] |
Generators of the group modulo torsion |
j |
26932556234375/15600246688 |
j-invariant |
L |
7.6655140534145 |
L(r)(E,1)/r! |
Ω |
0.37234886950257 |
Real period |
R |
0.85778807202761 |
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 |
2626c1 84032r1 |
Quadratic twists by: -4 8 |