Atkin-Lehner |
3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405h |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28032 |
Modular degree for the optimal curve |
Δ |
-55599075 = -1 · 33 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 4 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,63,-303] |
[a1,a2,a3,a4,a6] |
j |
20901888/42025 |
j-invariant |
L |
8.2857384612224 |
L(r)(E,1)/r! |
Ω |
1.0357173006501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405c1 90405a1 |
Quadratic twists by: -3 -7 |