Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150bn |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.4535457E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-292472588,-1925321899219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1038275852200:533178012901:105154048] |
Generators of the group modulo torsion |
j |
177075790969525467816444409/2210269248000000 |
j-invariant |
L |
7.0577313984503 |
L(r)(E,1)/r! |
Ω |
0.036507177969558 |
Real period |
R |
16.110373792624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230n3 |
Quadratic twists by: 5 |