Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13754j |
Isogeny class |
Conductor |
13754 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-246331719296 = -1 · 27 · 13 · 236 |
Discriminant |
Eigenvalues |
2- -3 1 -1 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1422,-31203] |
[a1,a2,a3,a4,a6] |
Generators |
[75:491:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
4.5417997399586 |
L(r)(E,1)/r! |
Ω |
0.37617192860341 |
Real period |
R |
0.86240955922558 |
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 |
110032o1 123786k1 26b1 |
Quadratic twists by: -4 -3 -23 |