Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610m |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
9632 |
Modular degree for the optimal curve |
Δ |
30333690 = 2 · 37 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79,32] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
53540005609/30333690 |
j-invariant |
L |
5.2293923660034 |
L(r)(E,1)/r! |
Ω |
1.7981867057794 |
Real period |
R |
0.41544965819443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830cp1 |
Quadratic twists by: -3 |