Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bw |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2492743680 = 214 · 33 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-960,11520] |
[a1,a2,a3,a4,a6] |
Generators |
[2:98:1] |
Generators of the group modulo torsion |
j |
23912763841/608580 |
j-invariant |
L |
4.8065752408143 |
L(r)(E,1)/r! |
Ω |
1.4435556157553 |
Real period |
R |
1.6648389533299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bl1 115920de1 |
Quadratic twists by: -4 -3 |