Atkin-Lehner |
3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39249h |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
4453528221179667 = 311 · 710 · 89 |
Discriminant |
Eigenvalues |
1 3- -2 7- 3 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43668,-1412951] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:1481:1] |
Generators of the group modulo torsion |
j |
44720977/21627 |
j-invariant |
L |
6.0574930805469 |
L(r)(E,1)/r! |
Ω |
0.34663752339284 |
Real period |
R |
4.3687517015295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13083d1 39249c1 |
Quadratic twists by: -3 -7 |