Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850a |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5520972605625000000 = 26 · 36 · 510 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6266125,-6038907875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1929561377055:795066724817:1349232625] |
Generators of the group modulo torsion |
j |
1741409690685460393681/353342246760000 |
j-invariant |
L |
3.023814697707 |
L(r)(E,1)/r! |
Ω |
0.095423440283779 |
Real period |
R |
15.844192416007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70800cm4 26550bt4 1770h3 |
Quadratic twists by: -4 -3 5 |