Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bg |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3366796990464 = -1 · 211 · 39 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 3 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42483,3371474] |
[a1,a2,a3,a4,a6] |
Generators |
[85:612:1] |
Generators of the group modulo torsion |
j |
-68001122/27 |
j-invariant |
L |
4.6675497101286 |
L(r)(E,1)/r! |
Ω |
0.78007812620056 |
Real period |
R |
0.24930994908073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808r1 13872f1 41616v1 |
Quadratic twists by: -4 -3 17 |