Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dt |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
145116562500 = 22 · 36 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,-5353] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:965:8] |
Generators of the group modulo torsion |
j |
24137569/12740 |
j-invariant |
L |
7.9932377057027 |
L(r)(E,1)/r! |
Ω |
0.83499237843117 |
Real period |
R |
2.3932067861256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550d1 8190z1 |
Quadratic twists by: -3 5 |