Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248s |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.1134939149545E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3137571,-2133103086] |
[a1,a2,a3,a4,a6] |
Generators |
[-981:882:1] |
Generators of the group modulo torsion |
j |
4575904097608151172/14916274366567 |
j-invariant |
L |
4.8179743951616 |
L(r)(E,1)/r! |
Ω |
0.1134583024086 |
Real period |
R |
2.1232357143025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15624k2 124992fv2 3472b2 |
Quadratic twists by: -4 8 -3 |