Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650v |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1229132800 = -1 · 210 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8148,279701] |
[a1,a2,a3,a4,a6] |
Generators |
[69:193:1] |
Generators of the group modulo torsion |
j |
-2392985657939305/49165312 |
j-invariant |
L |
7.6898701620009 |
L(r)(E,1)/r! |
Ω |
1.4156143462518 |
Real period |
R |
0.1810726248139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200ck1 59850bj1 6650q1 46550cc1 |
Quadratic twists by: -4 -3 5 -7 |