Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1368a |
Isogeny class |
Conductor |
1368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
95738112 = 28 · 39 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 6 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2727,54810] |
[a1,a2,a3,a4,a6] |
Generators |
[3:216:1] |
Generators of the group modulo torsion |
j |
445090032/19 |
j-invariant |
L |
2.3288078838276 |
L(r)(E,1)/r! |
Ω |
1.7842835087393 |
Real period |
R |
1.3051781695124 |
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 |
2736d2 10944i2 1368d2 34200bt2 |
Quadratic twists by: -4 8 -3 5 |