Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650br |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1920831693200 = -1 · 24 · 52 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67278,-6722668] |
[a1,a2,a3,a4,a6] |
Generators |
[172644414914:-3019863432084:371694959] |
Generators of the group modulo torsion |
j |
-4768951705/272 |
j-invariant |
L |
11.297959368483 |
L(r)(E,1)/r! |
Ω |
0.1482175980835 |
Real period |
R |
19.056373053147 |
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 |
41650bd1 41650bj1 |
Quadratic twists by: 5 -7 |