Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94962bw |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-229159125909504 = -1 · 218 · 32 · 72 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6194,-703228] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-2014:1] |
Generators of the group modulo torsion |
j |
536335881744719/4676716855296 |
j-invariant |
L |
13.075823718897 |
L(r)(E,1)/r! |
Ω |
0.27648332568015 |
Real period |
R |
0.2189507114434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962be1 |
Quadratic twists by: -7 |