Atkin-Lehner |
2+ 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142p |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-4.7687680451234E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1253448,634459392] |
[a1,a2,a3,a4,a6] |
Generators |
[113280:1888656:125] |
Generators of the group modulo torsion |
j |
-298755111047633880193/65415199521583296 |
j-invariant |
L |
6.2086456726554 |
L(r)(E,1)/r! |
Ω |
0.19237953724349 |
Real period |
R |
8.068225136568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21714o1 |
Quadratic twists by: -3 |