Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fj |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-2542277241000000000 = -1 · 29 · 32 · 59 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,76727512] |
[a1,a2,a3,a4,a6] |
Generators |
[97:8700:1] |
Generators of the group modulo torsion |
j |
-392/1125 |
j-invariant |
L |
3.5993068093091 |
L(r)(E,1)/r! |
Ω |
0.20638844740749 |
Real period |
R |
4.3598695110483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600di1 23520z1 117600gm1 |
Quadratic twists by: -4 5 -7 |