Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352i |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.2421630614851E+20 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 3 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4696965,3879654899] |
[a1,a2,a3,a4,a6] |
Generators |
[-2454:1771705:27] |
Generators of the group modulo torsion |
j |
2797794606468551643136/30326246618289637 |
j-invariant |
L |
3.665563434204 |
L(r)(E,1)/r! |
Ω |
0.18658462168709 |
Real period |
R |
9.8227908630948 |
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 |
1147b2 73408w2 |
Quadratic twists by: -4 8 |