Atkin-Lehner |
2- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872t |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1317623078912 = -1 · 213 · 7 · 172 · 433 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-992,-56192] |
[a1,a2,a3,a4,a6] |
Generators |
[378:7310:1] |
Generators of the group modulo torsion |
j |
-26383748833/321685322 |
j-invariant |
L |
6.0756731871701 |
L(r)(E,1)/r! |
Ω |
0.36592779328932 |
Real period |
R |
1.3836229669624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234k1 |
Quadratic twists by: -4 |