Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912dd |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-313710587904 = -1 · 212 · 3 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67178869,-211954691677] |
[a1,a2,a3,a4,a6] |
Generators |
[341686:199671129:1] |
Generators of the group modulo torsion |
j |
-69578264895333695488/651 |
j-invariant |
L |
9.7987448062016 |
L(r)(E,1)/r! |
Ω |
0.026367040513287 |
Real period |
R |
10.323015038689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999994527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557b3 10416r3 |
Quadratic twists by: -4 -7 |