Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720bo |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
2.692806772449E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14414817,-21063537376] |
[a1,a2,a3,a4,a6] |
Generators |
[1449207749:242849082580:50653] |
Generators of the group modulo torsion |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
6.0370497730006 |
L(r)(E,1)/r! |
Ω |
0.077481744409075 |
Real period |
R |
12.985961658975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18720bq1 37440du2 6240d1 93600s1 |
Quadratic twists by: -4 8 -3 5 |