Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ev |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1452000000000000 = 214 · 3 · 512 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24999633,48119797137] |
[a1,a2,a3,a4,a6] |
Generators |
[1481816:-49384075:343] |
Generators of the group modulo torsion |
j |
6749703004355978704/5671875 |
j-invariant |
L |
5.9356398101603 |
L(r)(E,1)/r! |
Ω |
0.29878526370248 |
Real period |
R |
9.9329527444198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ch4 13200cc4 10560cn4 |
Quadratic twists by: -4 8 5 |