Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195f |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.6801082316518E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1733131,-842863456] |
[a1,a2,a3,a4,a6] |
Generators |
[3594:196615:1] |
Generators of the group modulo torsion |
j |
4893613425692722081/227805440900625 |
j-invariant |
L |
2.1429887194563 |
L(r)(E,1)/r! |
Ω |
0.13195995156964 |
Real period |
R |
4.0599225256714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81585be3 3885h3 |
Quadratic twists by: -3 -7 |