Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1254g |
Isogeny class |
Conductor |
1254 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
183927761424 = 24 · 36 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2319,36741] |
[a1,a2,a3,a4,a6] |
Generators |
[17:42:1] |
Generators of the group modulo torsion |
j |
1379233073341297/183927761424 |
j-invariant |
L |
2.9864549384663 |
L(r)(E,1)/r! |
Ω |
0.97355074248726 |
Real period |
R |
3.0675904276303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
10032q2 40128x2 3762i2 31350q2 |
Quadratic twists by: -4 8 -3 5 |