Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590o |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1441792 |
Modular degree for the optimal curve |
Δ |
2372830920900000000 = 28 · 314 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6132960,-5843923200] |
[a1,a2,a3,a4,a6] |
Generators |
[-72769232:61949760:50653] |
Generators of the group modulo torsion |
j |
34995050144226882178561/3254912100000000 |
j-invariant |
L |
3.9679324100416 |
L(r)(E,1)/r! |
Ω |
0.095936626314946 |
Real period |
R |
10.339983180704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530w1 |
Quadratic twists by: -3 |