Atkin-Lehner |
2- 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094s |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73688064 |
Modular degree for the optimal curve |
Δ |
-1.0534292555431E+28 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2135137497,-38294664483993] |
[a1,a2,a3,a4,a6] |
Generators |
[30534645:32429084152:27] |
Generators of the group modulo torsion |
j |
-9077389327259968317569/88831108765974528 |
j-invariant |
L |
4.1442001178017 |
L(r)(E,1)/r! |
Ω |
0.011098381835058 |
Real period |
R |
7.7792874433507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71094x1 |
Quadratic twists by: 17 |