Atkin-Lehner |
2- 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cv |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
-1.563179732096E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-232339298,-1363069011103] |
[a1,a2,a3,a4,a6] |
Generators |
[86913:25155103:1] |
Generators of the group modulo torsion |
j |
-1902673198013216663060895961/21442794678956851200 |
j-invariant |
L |
9.4568153072964 |
L(r)(E,1)/r! |
Ω |
0.01933475161653 |
Real period |
R |
6.7931908117047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030s1 |
Quadratic twists by: -3 |