Atkin-Lehner |
13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86411h |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
607104 |
Modular degree for the optimal curve |
Δ |
-5992363987269907 = -1 · 133 · 179 · 23 |
Discriminant |
Eigenvalues |
0 2 2 2 -2 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-219447,39815998] |
[a1,a2,a3,a4,a6] |
Generators |
[398:3919:1] |
Generators of the group modulo torsion |
j |
-9855401984/50531 |
j-invariant |
L |
10.360375713755 |
L(r)(E,1)/r! |
Ω |
0.42763220202785 |
Real period |
R |
4.037884137428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86411d1 |
Quadratic twists by: 17 |