Atkin-Lehner |
2+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070a |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
378496800 |
Modular degree for the optimal curve |
Δ |
-2.9048152940062E+33 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11+ -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7483895252,2581090337206352] |
[a1,a2,a3,a4,a6] |
Generators |
[-6427048026079597736336013504602941380217197449160964575052195248525029403995444633101:38628965959827490928523467513225770961236217997350238896684687379777662690309500741118266:769745712725075708688691759886774748627796353079584572069969748539255961438475231] |
Generators of the group modulo torsion |
j |
19659508068882835611696421/1231925248000000000000000 |
j-invariant |
L |
2.8931597597446 |
L(r)(E,1)/r! |
Ω |
0.010888242130171 |
Real period |
R |
132.85706384723 |
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 |
81070p1 |
Quadratic twists by: -11 |