Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432w |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2406039552 = 214 · 34 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12608,549120] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:770:1] [-16:864:1] |
Generators of the group modulo torsion |
j |
54117385890625/587412 |
j-invariant |
L |
5.4241625555489 |
L(r)(E,1)/r! |
Ω |
1.31499403377 |
Real period |
R |
1.0312142899994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554l2 49728ee2 37296bl2 87024dk2 |
Quadratic twists by: -4 8 -3 -7 |