Atkin-Lehner |
3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8835d |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-132530592555 = -1 · 38 · 5 · 194 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,218,-17381] |
[a1,a2,a3,a4,a6] |
Generators |
[157448:2690261:512] |
Generators of the group modulo torsion |
j |
1137566234519/132530592555 |
j-invariant |
L |
3.8119805470822 |
L(r)(E,1)/r! |
Ω |
0.49235962416084 |
Real period |
R |
7.7422687808312 |
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 |
26505e3 44175j3 |
Quadratic twists by: -3 5 |