Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893l |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-4208808360159 = -1 · 37 · 13 · 236 |
Discriminant |
Eigenvalues |
-1 3- 2 4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2281,-89922] |
[a1,a2,a3,a4,a6] |
j |
12167/39 |
j-invariant |
L |
3.1846887019703 |
L(r)(E,1)/r! |
Ω |
0.39808608855583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20631a1 117a1 |
Quadratic twists by: -3 -23 |