Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315i |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.8279246613081E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6392385,-3991879584] |
[a1,a2,a3,a4,a6] |
Generators |
[5197364750508700:921338824994668802:163398182563] |
Generators of the group modulo torsion |
j |
39626434137891264921361/13481378136225140625 |
j-invariant |
L |
5.0377224416285 |
L(r)(E,1)/r! |
Ω |
0.097566284842273 |
Real period |
R |
25.816922565887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6105j2 91575s2 |
Quadratic twists by: -3 5 |