Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bz |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.1405993007481E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,422590,-328175935] |
[a1,a2,a3,a4,a6] |
Generators |
[206254:33025459:8] |
Generators of the group modulo torsion |
j |
4711131042738119/29017342901250 |
j-invariant |
L |
8.4520292866312 |
L(r)(E,1)/r! |
Ω |
0.099979684156776 |
Real period |
R |
5.2835917103621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270d2 |
Quadratic twists by: -11 |