Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cp |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
Δ |
1.1887891504326E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337999971467,75635136359142491] |
[a1,a2,a3,a4,a6] |
Generators |
[352171:-16881086:1] |
Generators of the group modulo torsion |
j |
158164837256075533508599412241550828563/4402922779380125000000 |
j-invariant |
L |
12.603830144054 |
L(r)(E,1)/r! |
Ω |
0.037987881170909 |
Real period |
R |
4.6081326714664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005812 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090h4 |
Quadratic twists by: -3 |