Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600dh |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
47692800000000 = 216 · 34 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 -3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28208,-1802412] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:150:1] |
Generators of the group modulo torsion |
j |
1551443665/29808 |
j-invariant |
L |
5.9649780045676 |
L(r)(E,1)/r! |
Ω |
0.36881794902784 |
Real period |
R |
0.67388463833021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3450s1 110400hj1 82800fi1 27600bl1 |
Quadratic twists by: -4 8 -3 5 |