Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27232g |
Isogeny class |
Conductor |
27232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
407808 |
Modular degree for the optimal curve |
Δ |
30713699883077632 = 212 · 236 · 373 |
Discriminant |
Eigenvalues |
2- -3 -2 -3 -3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88696,-5681264] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:2116:1] |
Generators of the group modulo torsion |
j |
18839781764393472/7498461885517 |
j-invariant |
L |
1.7584911646122 |
L(r)(E,1)/r! |
Ω |
0.28630303270392 |
Real period |
R |
0.51183855441689 |
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 |
27232c1 54464z1 |
Quadratic twists by: -4 8 |