Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bg |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1989913147200000000 = -1 · 212 · 32 · 58 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,314187,-3266469] |
[a1,a2,a3,a4,a6] |
Generators |
[415:-14308:1] |
Generators of the group modulo torsion |
j |
219517037998540919/127354441420800 |
j-invariant |
L |
9.5642080848061 |
L(r)(E,1)/r! |
Ω |
0.15556281265198 |
Real period |
R |
0.4269536566814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510i2 |
Quadratic twists by: 5 |