Atkin-Lehner |
2+ 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082i |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30191616 |
Modular degree for the optimal curve |
Δ |
-7.0514524173943E+25 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -1 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110774358,-603799235852] |
[a1,a2,a3,a4,a6] |
Generators |
[647276167390962752888087:230250346819855378077910733:5064814525137165037] |
Generators of the group modulo torsion |
j |
-35770877258965033633/16779025390657536 |
j-invariant |
L |
6.5463816652766 |
L(r)(E,1)/r! |
Ω |
0.022755866170125 |
Real period |
R |
35.959857649096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694h1 89082q1 |
Quadratic twists by: -3 -7 |