Atkin-Lehner |
2- 3- 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230x |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
1896960 |
Modular degree for the optimal curve |
Δ |
-1395363213095731200 = -1 · 219 · 37 · 52 · 312 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-434858,124255977] |
[a1,a2,a3,a4,a6] |
Generators |
[-687:10263:1] [-127:-13257:1] |
Generators of the group modulo torsion |
j |
-12474916284286514521/1914078481612800 |
j-invariant |
L |
14.589726165024 |
L(r)(E,1)/r! |
Ω |
0.26074265251875 |
Real period |
R |
0.12270724874927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34410d1 |
Quadratic twists by: -3 |