Atkin-Lehner |
2- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50350j |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-579310182400000000 = -1 · 219 · 58 · 19 · 533 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 0 -3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,133037,-31487583] |
[a1,a2,a3,a4,a6] |
Generators |
[2222:-107111:1] |
Generators of the group modulo torsion |
j |
16665594512227991/37075851673600 |
j-invariant |
L |
6.2745362418939 |
L(r)(E,1)/r! |
Ω |
0.15078714368337 |
Real period |
R |
0.18250823727763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070b1 |
Quadratic twists by: 5 |