Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100r |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
4964250291131250000 = 24 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1852200,964301625] |
[a1,a2,a3,a4,a6] |
Generators |
[-980:42875:1] |
Generators of the group modulo torsion |
j |
3538944/25 |
j-invariant |
L |
5.2258255200699 |
L(r)(E,1)/r! |
Ω |
0.24428168327627 |
Real period |
R |
1.7827184345749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100o1 8820d1 44100q1 |
Quadratic twists by: -3 5 -7 |