Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190d |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
67475362500 = 22 · 33 · 55 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1029,-2047] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:79:1] |
Generators of the group modulo torsion |
j |
4465226119563/2499087500 |
j-invariant |
L |
3.2043167546519 |
L(r)(E,1)/r! |
Ω |
0.90560769113277 |
Real period |
R |
0.17691527943208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ck1 8190bb1 40950dd1 57330b1 |
Quadratic twists by: -4 -3 5 -7 |