Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152v |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-66014128562798592 = -1 · 215 · 314 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39592,11997204] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-3888:1] |
Generators of the group modulo torsion |
j |
1675618386734375/16116730606152 |
j-invariant |
L |
7.3235987122138 |
L(r)(E,1)/r! |
Ω |
0.25564769946425 |
Real period |
R |
0.51155769719991 |
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 |
3894b2 124608co2 93456bv2 |
Quadratic twists by: -4 8 -3 |