Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304k |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8.5149570421082E+19 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9707635,11650212462] |
[a1,a2,a3,a4,a6] |
Generators |
[12866:112455:8] |
Generators of the group modulo torsion |
j |
-419899962807227250/353398147729 |
j-invariant |
L |
4.4790393479055 |
L(r)(E,1)/r! |
Ω |
0.19041113514386 |
Real period |
R |
3.9204984376136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1496a2 |
Quadratic twists by: -7 |