Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520ce |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-124875000000 = -1 · 26 · 33 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4035,-98775] |
[a1,a2,a3,a4,a6] |
j |
-113548651969024/1951171875 |
j-invariant |
L |
2.6927698939667 |
L(r)(E,1)/r! |
Ω |
0.29919665488433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520dc1 17760w1 106560ex1 |
Quadratic twists by: -4 8 -3 |