Atkin-Lehner |
3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90675d |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
606977033203125 = 33 · 59 · 135 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -5 -6 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24675,905906] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-813:1] [-81:1540:1] |
Generators of the group modulo torsion |
j |
3938323673088/1438760375 |
j-invariant |
L |
4.1375714088959 |
L(r)(E,1)/r! |
Ω |
0.47112345454809 |
Real period |
R |
0.2195587678993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675b1 18135d1 |
Quadratic twists by: -3 5 |