Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ds |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
3840 |
Product of Tamagawa factors cp |
Δ |
-6.7234501258023E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24219295,116020520703] |
[a1,a2,a3,a4,a6] |
Generators |
[-3149:92400:1] |
Generators of the group modulo torsion |
j |
11986661998777424518222/51295853620928503125 |
j-invariant |
L |
8.8087797123591 |
L(r)(E,1)/r! |
Ω |
0.053569294468817 |
Real period |
R |
0.68515460522547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993207 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fj3 9240b4 |
Quadratic twists by: -4 8 |