Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480db |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-118272000 = -1 · 212 · 3 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-525] |
[a1,a2,a3,a4,a6] |
Generators |
[30:165:1] |
Generators of the group modulo torsion |
j |
-4096/28875 |
j-invariant |
L |
6.3658236658899 |
L(r)(E,1)/r! |
Ω |
0.84835242895167 |
Real period |
R |
2.5012496570387 |
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 |
1155g1 73920ea1 55440cu1 92400el1 |
Quadratic twists by: -4 8 -3 5 |