Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bc |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-33896330496 = -1 · 28 · 39 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,729,-4590] |
[a1,a2,a3,a4,a6] |
Generators |
[146:973:8] |
Generators of the group modulo torsion |
j |
8503056/6727 |
j-invariant |
L |
3.2485019486454 |
L(r)(E,1)/r! |
Ω |
0.64730584885636 |
Real period |
R |
5.0184962091484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812d2 124992dp2 31248bb2 |
Quadratic twists by: -4 8 -3 |