Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574ce |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-10544408024097024 = -1 · 28 · 310 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56449,-7168897] |
[a1,a2,a3,a4,a6] |
j |
-1397395501513/740710656 |
j-invariant |
L |
4.8355166758841 |
L(r)(E,1)/r! |
Ω |
0.15110989612129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722dr1 5082bb1 35574p1 |
Quadratic twists by: -3 -7 -11 |