Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ek |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2333473286743130112 = -1 · 220 · 39 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204180,64346704] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:6552:1] |
Generators of the group modulo torsion |
j |
4926016478375/12210554412 |
j-invariant |
L |
3.3682942723924 |
L(r)(E,1)/r! |
Ω |
0.18073162211323 |
Real period |
R |
4.6592486821993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999517297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992db2 31248bi2 41664dg2 |
Quadratic twists by: -4 8 -3 |