Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36113d |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.0686978046182E+27 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5866628179,-172945520399410] |
[a1,a2,a3,a4,a6] |
Generators |
[3479486990029323104567072248253563208552301438542539290:-784070108434183606893051593996198865811964584097494212001:30312290564078069796068736785624652390065014899000] |
Generators of the group modulo torsion |
j |
189802165806189934309125676017/9083781456860333296997 |
j-invariant |
L |
4.0327966571717 |
L(r)(E,1)/r! |
Ω |
0.017250578383637 |
Real period |
R |
77.925825006866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159d4 |
Quadratic twists by: -7 |