Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cs |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-3238757438616 = -1 · 23 · 35 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 5 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-86731] |
[a1,a2,a3,a4,a6] |
Generators |
[349:6342:1] |
Generators of the group modulo torsion |
j |
-83521/95256 |
j-invariant |
L |
11.017190484868 |
L(r)(E,1)/r! |
Ω |
0.35949476818845 |
Real period |
R |
2.5538597176768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138v1 84966ec1 |
Quadratic twists by: -7 17 |