Atkin-Lehner |
5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2135g |
Isogeny class |
Conductor |
2135 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
457690625 = 55 · 74 · 61 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3955,95400] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-5:1] |
Generators of the group modulo torsion |
j |
6841794706150321/457690625 |
j-invariant |
L |
1.400081320843 |
L(r)(E,1)/r! |
Ω |
1.582873430862 |
Real period |
R |
0.35380752334205 |
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 |
34160bg1 19215h1 10675i1 14945d1 |
Quadratic twists by: -4 -3 5 -7 |