Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090s |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9175040 |
Modular degree for the optimal curve |
Δ |
-2.9570444162647E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3771495,7777391661] |
[a1,a2,a3,a4,a6] |
j |
8138356832616498699119/40563023542726164480 |
j-invariant |
L |
1.3547734956985 |
L(r)(E,1)/r! |
Ω |
0.084673348471352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bz1 |
Quadratic twists by: -3 |