Atkin-Lehner |
2- 3- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614m |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-3.5687578311868E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,549274,-895430923] |
[a1,a2,a3,a4,a6] |
Generators |
[173833:-72564101:1] |
Generators of the group modulo torsion |
j |
25139929260708655847/489541540629184512 |
j-invariant |
L |
10.52149030327 |
L(r)(E,1)/r! |
Ω |
0.082758208257171 |
Real period |
R |
7.063072726636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999217153 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41538g1 |
Quadratic twists by: -3 |