Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2480j |
Isogeny class |
Conductor |
2480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-3174400 = -1 · 212 · 52 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,84] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] [-1:10:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
2.6422844618954 |
L(r)(E,1)/r! |
Ω |
2.1721267540549 |
Real period |
R |
0.60822520070805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
155b1 9920bc1 22320bz1 12400o1 |
Quadratic twists by: -4 8 -3 5 |