Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525ba |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
2.7850297929819E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1480683,644722056] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:36927:1] |
Generators of the group modulo torsion |
j |
24412471425434357/1893789011709 |
j-invariant |
L |
2.7292161738809 |
L(r)(E,1)/r! |
Ω |
0.20583590672497 |
Real period |
R |
6.6295920243795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525dd1 12075t1 |
Quadratic twists by: 5 -7 |