Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dh |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
76677120 |
Modular degree for the optimal curve |
Δ |
-1.9289449471834E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11558167,-6682163816663] |
[a1,a2,a3,a4,a6] |
Generators |
[27847:3889052:1] |
Generators of the group modulo torsion |
j |
234241108436789946525879/26460150167125207212359680 |
j-invariant |
L |
9.7688019167221 |
L(r)(E,1)/r! |
Ω |
0.017755243862765 |
Real period |
R |
1.1462343651113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010k1 |
Quadratic twists by: -3 |