Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19092b |
Isogeny class |
Conductor |
19092 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
889865595648 = 28 · 310 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313876,-67579352] |
[a1,a2,a3,a4,a6] |
Generators |
[2826690:-54036206:3375] |
Generators of the group modulo torsion |
j |
13358554252646419024/3476037483 |
j-invariant |
L |
5.8956599833907 |
L(r)(E,1)/r! |
Ω |
0.20170186730092 |
Real period |
R |
9.743191874033 |
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 |
76368q2 57276b2 |
Quadratic twists by: -4 -3 |