Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bt |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-421821001728 = -1 · 212 · 37 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1653,17530] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-248:1] [-3:112:1] |
Generators of the group modulo torsion |
j |
167284151/141267 |
j-invariant |
L |
6.6993596500718 |
L(r)(E,1)/r! |
Ω |
0.61162982562248 |
Real period |
R |
1.369161412962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1953f2 124992fk2 10416bi2 |
Quadratic twists by: -4 8 -3 |