Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9100l |
Isogeny class |
Conductor |
9100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
17224480000 = 28 · 54 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-733,4063] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:70:1] |
Generators of the group modulo torsion |
j |
272588800/107653 |
j-invariant |
L |
5.1934218558872 |
L(r)(E,1)/r! |
Ω |
1.1201096766385 |
Real period |
R |
0.77275496084649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36400cm1 81900bn1 9100b1 63700bm1 |
Quadratic twists by: -4 -3 5 -7 |