Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bu |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
4408320 |
Modular degree for the optimal curve |
Δ |
-2.915602629519E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1873860,2402976868] |
[a1,a2,a3,a4,a6] |
Generators |
[14936:1833678:1] |
Generators of the group modulo torsion |
j |
3899129331122048000/15622870742878707 |
j-invariant |
L |
6.697312211785 |
L(r)(E,1)/r! |
Ω |
0.10187168949778 |
Real period |
R |
0.27392760140623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112i1 |
Quadratic twists by: -3 |