Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090o |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
136100896534102500 = 22 · 38 · 54 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247905,44130825] |
[a1,a2,a3,a4,a6] |
Generators |
[508:-7261:1] |
Generators of the group modulo torsion |
j |
2311282482178859281/186695331322500 |
j-invariant |
L |
4.3683827246379 |
L(r)(E,1)/r! |
Ω |
0.32037864916283 |
Real period |
R |
0.85219137398257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657583 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030cc3 |
Quadratic twists by: -3 |