Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094bi |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-620603651556 = -1 · 22 · 39 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10667,428383] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:944:1] |
Generators of the group modulo torsion |
j |
-57960603/268 |
j-invariant |
L |
10.632602673987 |
L(r)(E,1)/r! |
Ω |
0.91846659170363 |
Real period |
R |
2.8941179705847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094f1 1206c1 |
Quadratic twists by: -3 -7 |