Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184x |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
528750224934912 = 211 · 312 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282027,-57637370] |
[a1,a2,a3,a4,a6] |
Generators |
[-38430:12488:125] |
Generators of the group modulo torsion |
j |
1661645189685458/354154761 |
j-invariant |
L |
3.1446702978236 |
L(r)(E,1)/r! |
Ω |
0.20717265765354 |
Real period |
R |
7.5894916189031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368p2 16728c2 |
Quadratic twists by: -4 -3 |