Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
62050bf |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4635648 |
Modular degree for the optimal curve |
Δ |
8122772214250 = 2 · 53 · 174 · 733 |
Discriminant |
Eigenvalues |
2- -1 5- 3 3 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-281248793,-1815566444019] |
[a1,a2,a3,a4,a6] |
j |
19682746593397492853245960997/64982177714 |
j-invariant |
L |
3.9815359679066 |
L(r)(E,1)/r! |
Ω |
0.036866073774559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050p1 |
Quadratic twists by: 5 |