Atkin-Lehner |
2- 3+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bf |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-158013849600 = -1 · 218 · 33 · 52 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,883,-16459] |
[a1,a2,a3,a4,a6] |
Generators |
[21:94:1] [31:184:1] |
Generators of the group modulo torsion |
j |
2822949290637/5852364800 |
j-invariant |
L |
14.783318689708 |
L(r)(E,1)/r! |
Ω |
0.53309487492318 |
Real period |
R |
1.5406178551095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370b1 |
Quadratic twists by: -3 |