Atkin-Lehner |
2- 3- 5+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330bm |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6349946408100 = 22 · 310 · 52 · 172 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56003,5113631] |
[a1,a2,a3,a4,a6] |
Generators |
[990:1571:8] |
Generators of the group modulo torsion |
j |
26645433490155241/8710488900 |
j-invariant |
L |
10.638857978059 |
L(r)(E,1)/r! |
Ω |
0.73762128665546 |
Real period |
R |
3.6057995321575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015728 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31110j2 |
Quadratic twists by: -3 |