Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520a |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2723840 |
Modular degree for the optimal curve |
Δ |
-2.6434576202056E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2368641,1423976159] |
[a1,a2,a3,a4,a6] |
Generators |
[346927:2743600:343] |
Generators of the group modulo torsion |
j |
-34747958/625 |
j-invariant |
L |
6.5079840927188 |
L(r)(E,1)/r! |
Ω |
0.21164765024422 |
Real period |
R |
3.8436429794973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520bm1 14440g1 115520d1 |
Quadratic twists by: -4 8 -19 |