Atkin-Lehner |
5+ 41- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74825a |
Isogeny class |
Conductor |
74825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5991845703125 = 511 · 412 · 73 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30416688,-64570336133] |
[a1,a2,a3,a4,a6] |
j |
199177123499174511268921/383478125 |
j-invariant |
L |
0.25714703958292 |
L(r)(E,1)/r! |
Ω |
0.064286765273303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14965a2 |
Quadratic twists by: 5 |