Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075u |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.6381442657562E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-39622758,95985650144] |
[a1,a2,a3,a4,a6] |
Generators |
[25242:390959:8] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
2.1270461327027 |
L(r)(E,1)/r! |
Ω |
0.19015945343429 |
Real period |
R |
1.3981990470945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225bi2 1083c2 1425b2 |
Quadratic twists by: -3 5 -19 |