Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150a |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-695817039015000000 = -1 · 26 · 36 · 57 · 74 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,118850,-36855500] |
[a1,a2,a3,a4,a6] |
Generators |
[355:6910:1] |
Generators of the group modulo torsion |
j |
11882163791971871/44532290496960 |
j-invariant |
L |
3.2395182671078 |
L(r)(E,1)/r! |
Ω |
0.14541341778284 |
Real period |
R |
2.784748406052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030w1 |
Quadratic twists by: 5 |