Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850ce |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
53302200000000 = 29 · 3 · 58 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104388,-13020219] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:143:1] |
Generators of the group modulo torsion |
j |
322044338070625/136453632 |
j-invariant |
L |
7.0988847722883 |
L(r)(E,1)/r! |
Ω |
0.26561214719302 |
Real period |
R |
1.4848059153812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ci1 38850bm1 |
Quadratic twists by: -3 5 |