Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12506a |
Isogeny class |
Conductor |
12506 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1.6751571724736E+24 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 3 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18302246,54487812276] |
[a1,a2,a3,a4,a6] |
Generators |
[-440940338803196720022616819479:87589820078604572488723309877598:460061031105194834819615201] |
Generators of the group modulo torsion |
j |
4918167786495951/12151280273024 |
j-invariant |
L |
2.9152609287462 |
L(r)(E,1)/r! |
Ω |
0.058743613719125 |
Real period |
R |
49.626857188003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100048e2 112554s2 12506d2 |
Quadratic twists by: -4 -3 13 |