Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18564i |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
429115325184 = 28 · 35 · 74 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22244,1269156] |
[a1,a2,a3,a4,a6] |
Generators |
[100:234:1] |
Generators of the group modulo torsion |
j |
4754905936877392/1676231739 |
j-invariant |
L |
5.2832594199563 |
L(r)(E,1)/r! |
Ω |
0.92444436767882 |
Real period |
R |
0.3810043167315 |
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 |
74256by2 55692p2 129948s2 |
Quadratic twists by: -4 -3 -7 |