Atkin-Lehner |
2- 3+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
13038c |
Isogeny class |
Conductor |
13038 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
77520 |
Modular degree for the optimal curve |
Δ |
-465375623380992 = -1 · 219 · 35 · 413 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 2 3 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107343,-13621035] |
[a1,a2,a3,a4,a6] |
j |
-136787102780154144625/465375623380992 |
j-invariant |
L |
2.5051933136717 |
L(r)(E,1)/r! |
Ω |
0.13185227966693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304n1 39114g1 |
Quadratic twists by: -4 -3 |