Atkin-Lehner |
2- 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598be |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
Δ |
7483611049938356256 = 25 · 36 · 714 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-572114,102217393] |
[a1,a2,a3,a4,a6] |
Generators |
[-581:15725:1] |
Generators of the group modulo torsion |
j |
28408166077403283417/10265584430642464 |
j-invariant |
L |
11.58232062068 |
L(r)(E,1)/r! |
Ω |
0.21507515880808 |
Real period |
R |
0.76932047415126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622d2 |
Quadratic twists by: -3 |