Atkin-Lehner |
2+ 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450i |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7225344 |
Modular degree for the optimal curve |
Δ |
1.2185729585352E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89218526,324350744448] |
[a1,a2,a3,a4,a6] |
j |
5026536155704292497837009/77988669346250000 |
j-invariant |
L |
1.686986495765 |
L(r)(E,1)/r! |
Ω |
0.14058220800271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490h1 |
Quadratic twists by: 5 |