Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090be |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
457894125618930 = 2 · 36 · 5 · 7 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42315,-3177685] |
[a1,a2,a3,a4,a6] |
Generators |
[241:640:1] |
Generators of the group modulo torsion |
j |
11494365229496241/628112655170 |
j-invariant |
L |
4.9974425282267 |
L(r)(E,1)/r! |
Ω |
0.33400379430653 |
Real period |
R |
0.93513955055836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999989956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010x4 |
Quadratic twists by: -3 |