Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880bl |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2458439280230400 = -1 · 236 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52705,5215103] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2100:1] |
Generators of the group modulo torsion |
j |
-61765716432889/9378201600 |
j-invariant |
L |
8.6879076176556 |
L(r)(E,1)/r! |
Ω |
0.44241839914463 |
Real period |
R |
3.2728851370996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880ct1 1590d1 |
Quadratic twists by: -4 8 |