Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360m |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
779486840000000000 = 212 · 510 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-511265,-134313137] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:2500:1] |
Generators of the group modulo torsion |
j |
2036792051776/107421875 |
j-invariant |
L |
3.5150280514644 |
L(r)(E,1)/r! |
Ω |
0.17912681271595 |
Real period |
R |
0.98115630992616 |
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 |
19360l2 38720cf1 96800bv2 1760l2 |
Quadratic twists by: -4 8 5 -11 |