Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410v |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-19456203375000 = -1 · 23 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3592,-196269] |
[a1,a2,a3,a4,a6] |
Generators |
[51:317:1] |
Generators of the group modulo torsion |
j |
1613964717/6125000 |
j-invariant |
L |
5.1117732450745 |
L(r)(E,1)/r! |
Ω |
0.34822812822459 |
Real period |
R |
1.2232817203137 |
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 |
35280cv2 4410d4 22050d2 630h2 |
Quadratic twists by: -4 -3 5 -7 |