Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.2747443374775E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2849940,2037435472] |
[a1,a2,a3,a4,a6] |
Generators |
[6269:516021:1] |
Generators of the group modulo torsion |
j |
361682234074684125/462672528510976 |
j-invariant |
L |
6.727027334638 |
L(r)(E,1)/r! |
Ω |
0.095046150826929 |
Real period |
R |
5.8980359155091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608n2 19152bh2 76608dh4 |
Quadratic twists by: -4 8 -3 |