Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bz |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
9830400 |
Modular degree for the optimal curve |
Δ |
-1.3973025377501E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7513191,-16145586387] |
[a1,a2,a3,a4,a6] |
Generators |
[4137:-294861:1] |
Generators of the group modulo torsion |
j |
64338279059769735453551/191673873491100000000 |
j-invariant |
L |
5.5230055440338 |
L(r)(E,1)/r! |
Ω |
0.053021574631376 |
Real period |
R |
0.21701093618033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bp1 |
Quadratic twists by: -3 |