Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405cc |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
1647631125 = 38 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 6 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8337,292990] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-68:1] |
Generators of the group modulo torsion |
j |
1794029203456/46125 |
j-invariant |
L |
4.3840981362096 |
L(r)(E,1)/r! |
Ω |
1.3896927122669 |
Real period |
R |
0.26289373661196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135g1 90405j1 |
Quadratic twists by: -3 -7 |