Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512bs |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
26461276618752 = 214 · 36 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34707,2476370] |
[a1,a2,a3,a4,a6] |
Generators |
[127:342:1] |
Generators of the group modulo torsion |
j |
1548415333009/8861828 |
j-invariant |
L |
2.3645462804838 |
L(r)(E,1)/r! |
Ω |
0.67197664759549 |
Real period |
R |
0.43984904254914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5814h1 5168h1 |
Quadratic twists by: -4 -3 |