Atkin-Lehner |
2+ 3+ 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766i |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
-3.3244319647847E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1690202,-1219262562] |
[a1,a2,a3,a4,a6] |
Generators |
[2473:97418:1] |
Generators of the group modulo torsion |
j |
-533998389717580399272361/332443196478473677506 |
j-invariant |
L |
4.3063409722432 |
L(r)(E,1)/r! |
Ω |
0.064385720652538 |
Real period |
R |
3.3441739322003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298bl1 |
Quadratic twists by: -3 |