Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405r |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
348915877605225 = 310 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1494338,-702732544] |
[a1,a2,a3,a4,a6] |
Generators |
[161747304:24723154909:6859] |
Generators of the group modulo torsion |
j |
4302830045045449/4068225 |
j-invariant |
L |
3.5344424890552 |
L(r)(E,1)/r! |
Ω |
0.13654864406123 |
Real period |
R |
12.942063662054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30135bf1 12915t1 |
Quadratic twists by: -3 -7 |