Atkin-Lehner |
2- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070v |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-1399646569904000 = -1 · 27 · 53 · 117 · 672 |
Discriminant |
Eigenvalues |
2- -3 5- 1 11- -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1308,1799559] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:-1179:1] [-3:1341:1] |
Generators of the group modulo torsion |
j |
139798359/790064000 |
j-invariant |
L |
10.896162576402 |
L(r)(E,1)/r! |
Ω |
0.37794411598736 |
Real period |
R |
0.17160767381197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370b1 |
Quadratic twists by: -11 |