Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090o |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
48078883189987650 = 2 · 37 · 52 · 72 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3886155,2949637275] |
[a1,a2,a3,a4,a6] |
Generators |
[-507:69459:1] |
Generators of the group modulo torsion |
j |
8903414699685428111281/65951828792850 |
j-invariant |
L |
4.3683827246379 |
L(r)(E,1)/r! |
Ω |
0.32037864916283 |
Real period |
R |
0.42609568699128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030cc6 |
Quadratic twists by: -3 |