Atkin-Lehner |
2- 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100f |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-8979710220000000 = -1 · 28 · 35 · 57 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9867,-4546863] |
[a1,a2,a3,a4,a6] |
Generators |
[707:18850:1] |
Generators of the group modulo torsion |
j |
26556760064/2244927555 |
j-invariant |
L |
5.2412527230319 |
L(r)(E,1)/r! |
Ω |
0.19556080215863 |
Real period |
R |
0.37223807959416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998996301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22620f1 |
Quadratic twists by: 5 |