Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cp |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1161600000000000000 = 219 · 3 · 514 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6216033,-5966951937] |
[a1,a2,a3,a4,a6] |
Generators |
[-3156127:-933828:2197] |
Generators of the group modulo torsion |
j |
6484907238722641/283593750 |
j-invariant |
L |
7.6162474022095 |
L(r)(E,1)/r! |
Ω |
0.095614192274953 |
Real period |
R |
9.957004317272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ea6 1650a5 10560e5 |
Quadratic twists by: -4 8 5 |