Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90675bk |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1721408203125 = 37 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3000,3906] |
[a1,a2,a3,a4,a6] |
Generators |
[0:62:1] |
Generators of the group modulo torsion |
j |
2097152/1209 |
j-invariant |
L |
4.5711341914449 |
L(r)(E,1)/r! |
Ω |
0.71455379757492 |
Real period |
R |
1.5992967245221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30225bb1 90675bv1 |
Quadratic twists by: -3 5 |