Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bz |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2472873984 = 212 · 32 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344,-684] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:42:1] |
Generators of the group modulo torsion |
j |
1102302937/603729 |
j-invariant |
L |
4.9128616051903 |
L(r)(E,1)/r! |
Ω |
1.1841377121819 |
Real period |
R |
2.0744468969482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
777a2 49728dn2 37296co2 87024ct2 |
Quadratic twists by: -4 8 -3 -7 |