Atkin-Lehner |
2+ 3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986k |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5.0439461510895E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1853685,-1029290571] |
[a1,a2,a3,a4,a6] |
Generators |
[16686:508563:8] |
Generators of the group modulo torsion |
j |
-966282518387171054161/69189933485452416 |
j-invariant |
L |
3.7403909664394 |
L(r)(E,1)/r! |
Ω |
0.064427897672485 |
Real period |
R |
2.4189773264664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662w1 |
Quadratic twists by: -3 |