Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4872a |
Isogeny class |
Conductor |
4872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19093874688 = 211 · 38 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1048,11596] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:154:1] |
Generators of the group modulo torsion |
j |
62214547250/9323181 |
j-invariant |
L |
3.2585510762341 |
L(r)(E,1)/r! |
Ω |
1.1709744590122 |
Real period |
R |
2.782768702729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9744d2 38976q2 14616i2 121800bn2 |
Quadratic twists by: -4 8 -3 5 |