Atkin-Lehner |
2+ 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
83398d |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-4.0526311129745E+21 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-166233,-3063036955] |
[a1,a2,a3,a4,a6] |
Generators |
[26596499703070:1319852871329905:9090072503] |
Generators of the group modulo torsion |
j |
-12589171852447/100427976933376 |
j-invariant |
L |
9.149428997188 |
L(r)(E,1)/r! |
Ω |
0.063215067613909 |
Real period |
R |
18.091867441767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83398e1 |
Quadratic twists by: -7 |