Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627u |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-3.9574078418284E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,300985,295942493] |
[a1,a2,a3,a4,a6] |
Generators |
[13398:586487:8] |
Generators of the group modulo torsion |
j |
624741318596303/8198807621823 |
j-invariant |
L |
12.39679927061 |
L(r)(E,1)/r! |
Ω |
0.15124239101854 |
Real period |
R |
2.5614510227501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279i1 |
Quadratic twists by: 13 |