Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jm |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
30215812838400 = 210 · 35 · 52 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5445581,4889374275] |
[a1,a2,a3,a4,a6] |
Generators |
[1342:-315:1] |
Generators of the group modulo torsion |
j |
17440402442527904475136/29507629725 |
j-invariant |
L |
7.1475694778406 |
L(r)(E,1)/r! |
Ω |
0.42634446320811 |
Real period |
R |
0.33529552249161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240r1 28560bd1 |
Quadratic twists by: -4 8 |