Atkin-Lehner |
2+ 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008b |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3721976064 = 28 · 32 · 312 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5084,-141204] |
[a1,a2,a3,a4,a6] |
Generators |
[6034:468720:1] |
Generators of the group modulo torsion |
j |
56778745588432/14538969 |
j-invariant |
L |
3.2524440129359 |
L(r)(E,1)/r! |
Ω |
0.56538948107841 |
Real period |
R |
5.7525725572212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998239 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30504a2 |
Quadratic twists by: -4 |