Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280ca |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-13448127772800000 = -1 · 210 · 36 · 55 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17493,-5507894] |
[a1,a2,a3,a4,a6] |
Generators |
[147:490:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
6.2317296540692 |
L(r)(E,1)/r! |
Ω |
0.19284000277751 |
Real period |
R |
1.0771848102594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640cl1 3920a1 35280bj1 |
Quadratic twists by: -4 -3 -7 |