Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cf |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-240145138800 = -1 · 24 · 36 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,735,-22295] |
[a1,a2,a3,a4,a6] |
Generators |
[21:49:1] [29:153:1] |
Generators of the group modulo torsion |
j |
1280/7 |
j-invariant |
L |
9.17441169172 |
L(r)(E,1)/r! |
Ω |
0.49621741877431 |
Real period |
R |
0.77036222300669 |
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 |
4900m1 44100dj1 6300i1 |
Quadratic twists by: -3 5 -7 |