Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650cw |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-9217589062500 = -1 · 22 · 33 · 58 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31513,2155517] |
[a1,a2,a3,a4,a6] |
j |
-8860001331505/23597028 |
j-invariant |
L |
4.3921143188976 |
L(r)(E,1)/r! |
Ω |
0.7320190531496 |
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 |
109200eq1 40950bw1 13650h1 95550ii1 |
Quadratic twists by: -4 -3 5 -7 |