Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546br |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
6531840 |
Modular degree for the optimal curve |
Δ |
-2.2653062363378E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7056670,613587521] |
[a1,a2,a3,a4,a6] |
Generators |
[645:73387:1] |
Generators of the group modulo torsion |
j |
53308402338517530734375/31074159620546003808 |
j-invariant |
L |
10.444891099345 |
L(r)(E,1)/r! |
Ω |
0.072717194466744 |
Real period |
R |
4.7879052448017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182i1 |
Quadratic twists by: -3 |