Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405bc |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
7322805 = 36 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -2 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63,-142] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [-3:4:1] |
Generators of the group modulo torsion |
j |
774144/205 |
j-invariant |
L |
5.1434302023721 |
L(r)(E,1)/r! |
Ω |
1.728002591865 |
Real period |
R |
0.7441294108707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045k1 90405bf1 |
Quadratic twists by: -3 -7 |