Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405z |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9461343241940625 = 37 · 55 · 77 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-596903,-177291138] |
[a1,a2,a3,a4,a6] |
j |
274232262365209/110315625 |
j-invariant |
L |
0.68705921152392 |
L(r)(E,1)/r! |
Ω |
0.17176479524628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30135l1 12915p1 |
Quadratic twists by: -3 -7 |