Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bt |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2757551516901675000 = 23 · 312 · 55 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51588878,-142607671963] |
[a1,a2,a3,a4,a6] |
Generators |
[3673722137315:-380293514609451:248858189] |
Generators of the group modulo torsion |
j |
20828808332352840720441241/3782649543075000 |
j-invariant |
L |
7.5283756328859 |
L(r)(E,1)/r! |
Ω |
0.056332696389139 |
Real period |
R |
22.273552529281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770i2 |
Quadratic twists by: -3 |