Atkin-Lehner |
3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17661b |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
52200 |
Modular degree for the optimal curve |
Δ |
-94546572049629 = -1 · 33 · 7 · 298 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -1 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26929,-1775330] |
[a1,a2,a3,a4,a6] |
Generators |
[231554430:5567200390:357911] |
Generators of the group modulo torsion |
j |
-4317433/189 |
j-invariant |
L |
5.936234232431 |
L(r)(E,1)/r! |
Ω |
0.18586690010957 |
Real period |
R |
10.646030804717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52983k1 123627v1 17661h1 |
Quadratic twists by: -3 -7 29 |