Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27232f |
Isogeny class |
Conductor |
27232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-1843933184 = -1 · 212 · 233 · 37 |
Discriminant |
Eigenvalues |
2- -3 -1 -2 0 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,152,1936] |
[a1,a2,a3,a4,a6] |
Generators |
[16:92:1] |
Generators of the group modulo torsion |
j |
94818816/450179 |
j-invariant |
L |
1.3906898641488 |
L(r)(E,1)/r! |
Ω |
1.065155245625 |
Real period |
R |
0.21760362630406 |
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 |
27232b1 54464l1 |
Quadratic twists by: -4 8 |