Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565w |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112679424 |
Modular degree for the optimal curve |
Δ |
3.3441977387882E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7798840853,-265086501932788] |
[a1,a2,a3,a4,a6] |
Generators |
[5068510077382178922991511080146910574592650244:803380012828326549422153295392748903675543482989:44442389969354767492026042318722806711903] |
Generators of the group modulo torsion |
j |
30517727539306343882651/194549560546875 |
j-invariant |
L |
4.2280880845823 |
L(r)(E,1)/r! |
Ω |
0.016065424529887 |
Real period |
R |
65.794839045752 |
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 |
30855m1 92565u1 |
Quadratic twists by: -3 -11 |