Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400c |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15390000000000 = 210 · 34 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12008,474012] |
[a1,a2,a3,a4,a6] |
Generators |
[122:900:1] |
Generators of the group modulo torsion |
j |
11968836484/961875 |
j-invariant |
L |
2.9939394962814 |
L(r)(E,1)/r! |
Ω |
0.6832892655166 |
Real period |
R |
1.0954143608629 |
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 |
22800bh4 91200eb4 34200ck4 2280j3 |
Quadratic twists by: -4 8 -3 5 |