Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230cy |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74900750732583930 = 2 · 33 · 5 · 76 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-184427,-27448319] |
[a1,a2,a3,a4,a6] |
Generators |
[7827668265098:94107282984487:13789468792] |
Generators of the group modulo torsion |
j |
10896752313/1176490 |
j-invariant |
L |
10.329081856538 |
L(r)(E,1)/r! |
Ω |
0.23199135078288 |
Real period |
R |
22.261782219929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230a2 76230m2 |
Quadratic twists by: -3 -11 |