Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200r |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-287712000000 = -1 · 211 · 35 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 5 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5008,-140512] |
[a1,a2,a3,a4,a6] |
Generators |
[83:150:1] |
Generators of the group modulo torsion |
j |
-434163602/8991 |
j-invariant |
L |
6.6170043455935 |
L(r)(E,1)/r! |
Ω |
0.28340895414867 |
Real period |
R |
2.3347901499691 |
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 |
44400d1 66600m1 888a1 |
Quadratic twists by: -4 -3 5 |