Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cg |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-914780074328064 = -1 · 214 · 37 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3264,-1453408] |
[a1,a2,a3,a4,a6] |
Generators |
[1218448:20821581:4096] |
Generators of the group modulo torsion |
j |
321978368/76589499 |
j-invariant |
L |
9.4529856706793 |
L(r)(E,1)/r! |
Ω |
0.2340975235872 |
Real period |
R |
10.095136321287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992gf1 7812h1 41664n1 |
Quadratic twists by: -4 8 -3 |