Atkin-Lehner |
3+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175d |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-46062675 = -1 · 34 · 52 · 232 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5+ 0 -5 1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-698,7343] |
[a1,a2,a3,a4,a6] |
Generators |
[154:203:8] |
Generators of the group modulo torsion |
j |
-1506510008320/1842507 |
j-invariant |
L |
9.378312321419 |
L(r)(E,1)/r! |
Ω |
2.0122994699939 |
Real period |
R |
1.1651238372058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175y1 |
Quadratic twists by: 5 |