Atkin-Lehner |
2+ 3- 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534t |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1523712 |
Modular degree for the optimal curve |
Δ |
-2654594765881344 = -1 · 216 · 312 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1507788,-712248368] |
[a1,a2,a3,a4,a6] |
j |
-520016583401571241153/3641419431936 |
j-invariant |
L |
2.1798890962553 |
L(r)(E,1)/r! |
Ω |
0.068121514127199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35178m1 |
Quadratic twists by: -3 |