Atkin-Lehner |
2- 3+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109980d |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224256 |
Modular degree for the optimal curve |
Δ |
1340381250000 = 24 · 33 · 58 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8568,300133] |
[a1,a2,a3,a4,a6] |
Generators |
[107:780:1] |
Generators of the group modulo torsion |
j |
161019449966592/3102734375 |
j-invariant |
L |
4.7788682755519 |
L(r)(E,1)/r! |
Ω |
0.85730794635117 |
Real period |
R |
2.7871363614432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999478804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109980h1 |
Quadratic twists by: -3 |