Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8.5728937239556E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93183284833,-10947575603122463] |
[a1,a2,a3,a4,a6] |
Generators |
[-12187293197438078438772972304305741615:59854112947531864278753705239108386816:68941182971575917623915387411625] |
Generators of the group modulo torsion |
j |
873851835888094527083289145/83719665273003835392 |
j-invariant |
L |
5.0271950646428 |
L(r)(E,1)/r! |
Ω |
0.0086410704781489 |
Real period |
R |
48.481599949097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600jp2 2550o2 81600cr2 |
Quadratic twists by: -4 8 5 |