Atkin-Lehner |
2+ 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170m |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-11746440423000000 = -1 · 26 · 312 · 56 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,47295,-3405699] |
[a1,a2,a3,a4,a6] |
j |
16048583565127919/16113087000000 |
j-invariant |
L |
1.7496796613114 |
L(r)(E,1)/r! |
Ω |
0.21870995884493 |
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 |
21390s1 |
Quadratic twists by: -3 |