Atkin-Lehner |
2- 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150ca |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-150917038588800 = -1 · 27 · 32 · 52 · 114 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7357,539457] |
[a1,a2,a3,a4,a6] |
Generators |
[156:-2421:1] |
Generators of the group modulo torsion |
j |
1761498517909415/6036681543552 |
j-invariant |
L |
14.145912882042 |
L(r)(E,1)/r! |
Ω |
0.40971046847418 |
Real period |
R |
0.20551552517072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150n1 |
Quadratic twists by: 5 |