Atkin-Lehner |
2+ 3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150y |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
771456 |
Modular degree for the optimal curve |
Δ |
1210363780546800 = 24 · 37 · 52 · 117 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27006,338368] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:729:1] |
Generators of the group modulo torsion |
j |
87124716150936385/48414551221872 |
j-invariant |
L |
3.7353621127938 |
L(r)(E,1)/r! |
Ω |
0.42115064711567 |
Real period |
R |
0.090504289824995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999212736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150bt1 |
Quadratic twists by: 5 |