Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70980q |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
2542720798800 = 24 · 310 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6361,177464] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:105:1] [-25:-567:1] |
Generators of the group modulo torsion |
j |
809875259392/72335025 |
j-invariant |
L |
10.943174938767 |
L(r)(E,1)/r! |
Ω |
0.79172500217584 |
Real period |
R |
0.23036565534536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70980bc1 |
Quadratic twists by: 13 |