Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162y |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13305600 |
Modular degree for the optimal curve |
Δ |
-8.0233906601355E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8390223,44101622637] |
[a1,a2,a3,a4,a6] |
Generators |
[73905368271:6100398134799:31855013] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
5.0614383682042 |
L(r)(E,1)/r! |
Ω |
0.075949083381595 |
Real period |
R |
16.660630197384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054bh1 522m1 |
Quadratic twists by: -3 -11 |