Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050l |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-15855750000 = -1 · 24 · 37 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,6016] |
[a1,a2,a3,a4,a6] |
Generators |
[9:83:1] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
3.4674028913459 |
L(r)(E,1)/r! |
Ω |
0.95248939136507 |
Real period |
R |
1.820179270646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400eg1 4350o1 522k1 |
Quadratic twists by: -4 -3 5 |