Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50540b |
Isogeny class |
Conductor |
50540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
393120 |
Modular degree for the optimal curve |
Δ |
-1012096156117760 = -1 · 28 · 5 · 75 · 196 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -5 3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11552,-1454108] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3610:1] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
2.7680579296067 |
L(r)(E,1)/r! |
Ω |
0.24690705525477 |
Real period |
R |
1.8684884795498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
140b1 |
Quadratic twists by: -19 |