Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cr |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
1386 |
Product of Tamagawa factors cp |
deg |
21954240 |
Modular degree for the optimal curve |
Δ |
-1.0734193064832E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,80338855,414321668025] |
[a1,a2,a3,a4,a6] |
Generators |
[14530:2148955:1] |
Generators of the group modulo torsion |
j |
24320161737371916109/45523457139456000 |
j-invariant |
L |
13.922210054282 |
L(r)(E,1)/r! |
Ω |
0.040935267362524 |
Real period |
R |
0.24538460955945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710bf1 |
Quadratic twists by: -11 |