Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100h |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7474295088540000000 = 28 · 33 · 57 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-518175,-57538250] |
[a1,a2,a3,a4,a6] |
Generators |
[12866:1457064:1] |
Generators of the group modulo torsion |
j |
1210991472/588245 |
j-invariant |
L |
5.2282574348445 |
L(r)(E,1)/r! |
Ω |
0.18684928594628 |
Real period |
R |
6.9952868810363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100g4 8820e2 6300a2 |
Quadratic twists by: -3 5 -7 |