Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025t |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6164663203125 = -1 · 36 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4458,32741] |
[a1,a2,a3,a4,a6] |
Generators |
[4:223:1] [28:-437:1] |
Generators of the group modulo torsion |
j |
860085351/541205 |
j-invariant |
L |
12.304759740566 |
L(r)(E,1)/r! |
Ω |
0.468344227769 |
Real period |
R |
1.6420560736815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8225c2 14805k2 |
Quadratic twists by: -3 5 |