Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840ci |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
4726470916177920 = 226 · 35 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130040,-17787180] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:546:1] |
Generators of the group modulo torsion |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
7.2799986614536 |
L(r)(E,1)/r! |
Ω |
0.25170555975595 |
Real period |
R |
0.96408924095176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730g1 87360es1 65520cy1 109200df1 |
Quadratic twists by: -4 8 -3 5 |