Atkin-Lehner |
3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
89301b |
Isogeny class |
Conductor |
89301 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.5035934002717E+27 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1186935144,-15024812774190] |
[a1,a2,a3,a4,a6] |
Generators |
[-163090:6776515:8] [-8922168:-305903343:512] |
Generators of the group modulo torsion |
j |
7661453165665186162650913/393726203341839577863 |
j-invariant |
L |
3.7719010138631 |
L(r)(E,1)/r! |
Ω |
0.025803448375544 |
Real period |
R |
73.089087928991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5253a3 |
Quadratic twists by: 17 |