Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520dc |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
27 |
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] |
Generators |
[30:75:1] |
Generators of the group modulo torsion |
j |
-113548651969024/1951171875 |
j-invariant |
L |
6.9786063573462 |
L(r)(E,1)/r! |
Ω |
1.0461053688866 |
Real period |
R |
0.24707539967892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520ce1 17760s1 106560fa1 |
Quadratic twists by: -4 8 -3 |