Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bk |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
10616832 |
Modular degree for the optimal curve |
Δ |
-1.8366366021533E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10168063,-16409280096] |
[a1,a2,a3,a4,a6] |
Generators |
[1880796:-497851358:27] |
Generators of the group modulo torsion |
j |
988211925316565164151/1561115353427004375 |
j-invariant |
L |
8.4085480929269 |
L(r)(E,1)/r! |
Ω |
0.053382064388571 |
Real period |
R |
6.5631813927394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015i1 |
Quadratic twists by: -7 |