Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752v |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
-2840230656 = -1 · 28 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -5 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321,-1294] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] [10:54:1] |
Generators of the group modulo torsion |
j |
19600688/15219 |
j-invariant |
L |
7.6283944457355 |
L(r)(E,1)/r! |
Ω |
0.79753644247755 |
Real period |
R |
1.1956184758005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584s1 |
Quadratic twists by: -3 |