Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515k |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1059519047342302435 = -1 · 5 · 76 · 239 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,237510,21645607] |
[a1,a2,a3,a4,a6] |
Generators |
[16226:1961905:343] |
Generators of the group modulo torsion |
j |
822656953/588245 |
j-invariant |
L |
1.793406594168 |
L(r)(E,1)/r! |
Ω |
0.17547269309019 |
Real period |
R |
10.220431239671 |
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 |
92575s2 129605i2 18515h2 |
Quadratic twists by: 5 -7 -23 |