Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048t |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-15935493485657088 = -1 · 210 · 36 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62312,-1001344] |
[a1,a2,a3,a4,a6] |
Generators |
[200:4416:1] |
Generators of the group modulo torsion |
j |
647514500/385641 |
j-invariant |
L |
6.6154598730332 |
L(r)(E,1)/r! |
Ω |
0.22900130906235 |
Real period |
R |
2.4073588269431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096c1 81144m1 27048r1 |
Quadratic twists by: -4 -3 -7 |