Atkin-Lehner |
3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29601k |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
346375583689707 = 37 · 116 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3- -2 -2 11- 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74763,7835854] |
[a1,a2,a3,a4,a6] |
Generators |
[78:1534:1] |
Generators of the group modulo torsion |
j |
63395672188101553/475137974883 |
j-invariant |
L |
4.5598513001537 |
L(r)(E,1)/r! |
Ω |
0.54227253503952 |
Real period |
R |
0.70073179774529 |
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 |
9867e2 |
Quadratic twists by: -3 |