Atkin-Lehner |
3+ 5- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185l |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
5741568 |
Modular degree for the optimal curve |
Δ |
2.6929797241955E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51877802,-143805252824] |
[a1,a2,a3,a4,a6] |
Generators |
[21776:2997799:1] |
Generators of the group modulo torsion |
j |
784471397756577916694427/13681754428671875 |
j-invariant |
L |
4.5862982708686 |
L(r)(E,1)/r! |
Ω |
0.056254156619222 |
Real period |
R |
1.941146827365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185e1 |
Quadratic twists by: -3 |