Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61854g |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-4776919102176 = -1 · 25 · 3 · 138 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 4 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61520,-5879170] |
[a1,a2,a3,a4,a6] |
j |
-5334607002817/989664 |
j-invariant |
L |
0.30313876688776 |
L(r)(E,1)/r! |
Ω |
0.15156938532844 |
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 |
4758j1 |
Quadratic twists by: 13 |