Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13754g |
Isogeny class |
Conductor |
13754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-2036085617306 = -1 · 2 · 13 · 238 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 -2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7417,252177] |
[a1,a2,a3,a4,a6] |
Generators |
[334:887:8] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
3.5946087922953 |
L(r)(E,1)/r! |
Ω |
0.81978584332676 |
Real period |
R |
2.1924072131497 |
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 |
110032j1 123786p1 598c1 |
Quadratic twists by: -4 -3 -23 |