Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bi |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-878179043203596288 = -1 · 214 · 36 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-384662,-102329944] |
[a1,a2,a3,a4,a6] |
j |
-10358806345399/1445216256 |
j-invariant |
L |
2.2827577594701 |
L(r)(E,1)/r! |
Ω |
0.095114906644086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722gy1 35574m1 3234v1 |
Quadratic twists by: -3 -7 -11 |