Atkin-Lehner |
2- 3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81252h |
Isogeny class |
Conductor |
81252 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-34118039808 = -1 · 28 · 310 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 0 5 6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,11270] |
[a1,a2,a3,a4,a6] |
j |
-192143824/182817 |
j-invariant |
L |
2.1228123261671 |
L(r)(E,1)/r! |
Ω |
1.0614061005795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27084c1 |
Quadratic twists by: -3 |