Atkin-Lehner |
2- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50350n |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-46531456000000 = -1 · 213 · 56 · 193 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 2 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8387,143217] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-981:1] [-8:279:1] |
Generators of the group modulo torsion |
j |
4175614324727/2978013184 |
j-invariant |
L |
9.6220056148109 |
L(r)(E,1)/r! |
Ω |
0.40472307695546 |
Real period |
R |
0.1523993235964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2014a1 |
Quadratic twists by: 5 |