Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800x |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
664614914400000000 = 211 · 35 · 58 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6495408,6373780812] |
[a1,a2,a3,a4,a6] |
Generators |
[-1963:107500:1] |
Generators of the group modulo torsion |
j |
947094050118111698/20769216075 |
j-invariant |
L |
3.1490675430665 |
L(r)(E,1)/r! |
Ω |
0.26543272694523 |
Real period |
R |
2.9659752014268 |
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 |
51600w4 77400p4 5160d3 |
Quadratic twists by: -4 -3 5 |