Atkin-Lehner |
2- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650y |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-20576800 = -1 · 25 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -3 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
327254135/823072 |
j-invariant |
L |
4.7824860886099 |
L(r)(E,1)/r! |
Ω |
1.1137946337202 |
Real period |
R |
0.42938670575805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650o1 |
Quadratic twists by: 5 |