Atkin-Lehner |
2- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109648p |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
447360 |
Modular degree for the optimal curve |
Δ |
-196489216 = -1 · 212 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 11+ -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-218597,39411149] |
[a1,a2,a3,a4,a6] |
Generators |
[7356:1673:27] |
Generators of the group modulo torsion |
j |
-282031971470553088/47971 |
j-invariant |
L |
7.8881949928115 |
L(r)(E,1)/r! |
Ω |
1.033217887059 |
Real period |
R |
3.817295002866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853e1 |
Quadratic twists by: -4 |