Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762g |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20213760 |
Modular degree for the optimal curve |
Δ |
-7.651567678461E+26 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 0 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,100001016,-1274012268224] |
[a1,a2,a3,a4,a6] |
Generators |
[389601968:-415436683192:343] |
Generators of the group modulo torsion |
j |
6371277998591/44079842304 |
j-invariant |
L |
2.9817540690684 |
L(r)(E,1)/r! |
Ω |
0.025161484451498 |
Real period |
R |
9.8753913440471 |
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 |
13254h1 39762i1 |
Quadratic twists by: -3 -47 |