Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850a |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2388818172865E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5591125,-7389582875] |
[a1,a2,a3,a4,a6] |
Generators |
[84186568575688447925355:-90170416585819589842108837:73452141801809875] |
Generators of the group modulo torsion |
j |
-1237090332317658745681/792884363063333400 |
j-invariant |
L |
3.023814697707 |
L(r)(E,1)/r! |
Ω |
0.047711720141889 |
Real period |
R |
31.688384832013 |
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 |
70800cm5 26550bt5 1770h6 |
Quadratic twists by: -4 -3 5 |