Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315t |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12398840073675 = 37 · 52 · 112 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-435857,-110645994] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:201:1] |
Generators of the group modulo torsion |
j |
12561089947477912009/17008011075 |
j-invariant |
L |
3.1575100385694 |
L(r)(E,1)/r! |
Ω |
0.18580768031513 |
Real period |
R |
2.1241789045091 |
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 |
6105a4 91575ba4 |
Quadratic twists by: -3 5 |