Atkin-Lehner |
2+ 3+ 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838a |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3786240 |
Modular degree for the optimal curve |
Δ |
-4.859517127565E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -6 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143085,-1060776283] |
[a1,a2,a3,a4,a6] |
Generators |
[42151022:96732525575:8] |
Generators of the group modulo torsion |
j |
-11998970312274555147/17998211583574147072 |
j-invariant |
L |
2.8331230519474 |
L(r)(E,1)/r! |
Ω |
0.074978412451621 |
Real period |
R |
9.4464625510965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999664251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89838o1 |
Quadratic twists by: -3 |