Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cf |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11767111801200 = -1 · 24 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43365,-3479735] |
[a1,a2,a3,a4,a6] |
Generators |
[336:4459:1] [896:26019:1] |
Generators of the group modulo torsion |
j |
-262885120/343 |
j-invariant |
L |
9.17441169172 |
L(r)(E,1)/r! |
Ω |
0.1654058062581 |
Real period |
R |
6.9332600070602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900m2 44100dj2 6300i2 |
Quadratic twists by: -3 5 -7 |