Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
70574g |
Isogeny class |
Conductor |
70574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
858816 |
Modular degree for the optimal curve |
Δ |
-63283846062084578 = -1 · 2 · 72 · 718 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-708366,229734330] |
[a1,a2,a3,a4,a6] |
Generators |
[151248857820:-465463152201:329939371] |
Generators of the group modulo torsion |
j |
-60873625/98 |
j-invariant |
L |
4.0933673493845 |
L(r)(E,1)/r! |
Ω |
0.34937097511519 |
Real period |
R |
17.574588221166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70574b1 |
Quadratic twists by: -71 |