Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200ca |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-431334720000000 = -1 · 212 · 36 · 57 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38033,-3012063] |
[a1,a2,a3,a4,a6] |
Generators |
[313:3956:1] |
Generators of the group modulo torsion |
j |
-95068558144/6739605 |
j-invariant |
L |
4.0345005940565 |
L(r)(E,1)/r! |
Ω |
0.17023893580572 |
Real period |
R |
2.9623809110129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200w2 20640g2 |
Quadratic twists by: -4 5 |