Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762i |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-70984458932511744 = -1 · 210 · 322 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 0 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45270,12259444] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:3326:1] |
Generators of the group modulo torsion |
j |
6371277998591/44079842304 |
j-invariant |
L |
3.0880346770777 |
L(r)(E,1)/r! |
Ω |
0.25165838977831 |
Real period |
R |
3.0676850072415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13254f1 39762g1 |
Quadratic twists by: -3 -47 |