Atkin-Lehner |
2- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76850i |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
140544 |
Modular degree for the optimal curve |
Δ |
-614800 = -1 · 24 · 52 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 3 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43543,3479101] |
[a1,a2,a3,a4,a6] |
Generators |
[109:152:1] |
Generators of the group modulo torsion |
j |
-365207232239640985/24592 |
j-invariant |
L |
16.983130956044 |
L(r)(E,1)/r! |
Ω |
1.5953246204426 |
Real period |
R |
2.6613910956894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76850c1 |
Quadratic twists by: 5 |