Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550cc |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-144606244787200 = -1 · 210 · 52 · 77 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-399253,-97135263] |
[a1,a2,a3,a4,a6] |
Generators |
[746:4135:1] |
Generators of the group modulo torsion |
j |
-2392985657939305/49165312 |
j-invariant |
L |
6.8590265702558 |
L(r)(E,1)/r! |
Ω |
0.094963556467096 |
Real period |
R |
3.6113993754264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bh1 6650v1 |
Quadratic twists by: 5 -7 |