Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cl |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-1112810220913950720 = -1 · 240 · 35 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,249984,-16257024] |
[a1,a2,a3,a4,a6] |
Generators |
[53528945600:-1648208379904:174676879] |
Generators of the group modulo torsion |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
4.0734300547252 |
L(r)(E,1)/r! |
Ω |
0.15752761503185 |
Real period |
R |
12.929257050904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570x1 114240kk1 85680fa1 |
Quadratic twists by: -4 8 -3 |