Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712d |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-35318003703092992 = -1 · 28 · 79 · 434 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115199,17556798] |
[a1,a2,a3,a4,a6] |
j |
-5613602206032/1172648743 |
j-invariant |
L |
0.70249050126665 |
L(r)(E,1)/r! |
Ω |
0.35124525063344 |
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 |
16856h1 4816b1 |
Quadratic twists by: -4 -7 |