Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cu |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.7890016E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,736024,-73846476] |
[a1,a2,a3,a4,a6] |
Generators |
[2700:146982:1] |
Generators of the group modulo torsion |
j |
10765621376623941911/6809085937500000 |
j-invariant |
L |
5.9631545679428 |
L(r)(E,1)/r! |
Ω |
0.1208885540444 |
Real period |
R |
6.1659627487901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310a4 73920fq3 55440eo3 92400dr3 |
Quadratic twists by: -4 8 -3 5 |