Atkin-Lehner |
3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037c |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-213610679316524763 = -1 · 36 · 78 · 132 · 673 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,132137,12312075] |
[a1,a2,a3,a4,a6] |
Generators |
[705:21339:1] |
Generators of the group modulo torsion |
j |
2168730128384000/1815660815787 |
j-invariant |
L |
4.0137745757114 |
L(r)(E,1)/r! |
Ω |
0.20450643266021 |
Real period |
R |
0.81777675116632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291g1 |
Quadratic twists by: -7 |