Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bh |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
273945600 |
Modular degree for the optimal curve |
Δ |
-1.288651430915E+31 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 1 -4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39278636450,3001239549296500] |
[a1,a2,a3,a4,a6] |
Generators |
[2767227860810732978302778:1525455187487315505134901133:49105980182500708888] |
Generators of the group modulo torsion |
j |
-145829251322736028516131385/280405924669357555712 |
j-invariant |
L |
3.5973209628596 |
L(r)(E,1)/r! |
Ω |
0.022464148485196 |
Real period |
R |
40.034023159505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cq1 15050l1 |
Quadratic twists by: 5 -7 |