Atkin-Lehner |
11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120263h |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-1.9016712812571E+19 |
Discriminant |
Eigenvalues |
2 -1 -3 0 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,48498,209753397] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:120259:8] |
Generators of the group modulo torsion |
j |
21207928832/31970355131 |
j-invariant |
L |
5.5996935029017 |
L(r)(E,1)/r! |
Ω |
0.17013678641804 |
Real period |
R |
1.3713704894608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999766652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147b1 |
Quadratic twists by: 29 |