Atkin-Lehner |
3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74589h |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1495296 |
Modular degree for the optimal curve |
Δ |
-1.2111942828649E+19 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-204734,171111242] |
[a1,a2,a3,a4,a6] |
Generators |
[-152572467:3694648204:300763] |
Generators of the group modulo torsion |
j |
-6411014266033/81817611327 |
j-invariant |
L |
3.7413137361233 |
L(r)(E,1)/r! |
Ω |
0.1913991729813 |
Real period |
R |
9.7735890881035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997539 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3243a1 |
Quadratic twists by: -23 |