Atkin-Lehner |
2- 3+ 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214n |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-29374494912 = -1 · 26 · 33 · 72 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,766,961] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-121:1] |
Generators of the group modulo torsion |
j |
1843222135581/1087944256 |
j-invariant |
L |
10.757879812604 |
L(r)(E,1)/r! |
Ω |
0.71685181109887 |
Real period |
R |
0.62529658884225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214a2 |
Quadratic twists by: -3 |