Atkin-Lehner |
2- 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cb |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4472832 |
Modular degree for the optimal curve |
Δ |
-1.0754702180352E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4378160,-3559694400] |
[a1,a2,a3,a4,a6] |
j |
-2265889619542705406641/26256597120000000 |
j-invariant |
L |
2.9203500459882 |
L(r)(E,1)/r! |
Ω |
0.05214910797573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430bq1 |
Quadratic twists by: -4 |