Atkin-Lehner |
2- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50344f |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
85824 |
Modular degree for the optimal curve |
Δ |
-10416146212864 = -1 · 211 · 7 · 293 · 313 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 5 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3323,171894] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:248:1] |
Generators of the group modulo torsion |
j |
-1981457600418/5086008893 |
j-invariant |
L |
4.6909947650974 |
L(r)(E,1)/r! |
Ω |
0.63835591162687 |
Real period |
R |
2.4495189802643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688f1 |
Quadratic twists by: -4 |