Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bf |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.0955213230009E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2546832,2233176384] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:30118:1] |
Generators of the group modulo torsion |
j |
-446030778735169043473/267461260498268466 |
j-invariant |
L |
3.0264707006613 |
L(r)(E,1)/r! |
Ω |
0.1435494327368 |
Real period |
R |
1.1712847479943 |
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 |
1554n3 49728ec3 37296cb3 87024ek3 |
Quadratic twists by: -4 8 -3 -7 |