Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cm |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
19841486073236100 = 22 · 310 · 52 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249174,-47329920] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:594:1] [-299:762:1] |
Generators of the group modulo torsion |
j |
19948814692561/231344100 |
j-invariant |
L |
7.642680531008 |
L(r)(E,1)/r! |
Ω |
0.21383472028144 |
Real period |
R |
4.467633063137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110cn4 1170d4 |
Quadratic twists by: -3 -7 |