Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565bb |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-120540938655072375 = -1 · 37 · 53 · 1110 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,100710,-11325825] |
[a1,a2,a3,a4,a6] |
Generators |
[2729620542:50902214673:16194277] |
Generators of the group modulo torsion |
j |
87469256519/93336375 |
j-invariant |
L |
5.7332474552376 |
L(r)(E,1)/r! |
Ω |
0.17928887317821 |
Real period |
R |
15.988854605782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30855s1 8415k1 |
Quadratic twists by: -3 -11 |