Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448k |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-69055577699328 = -1 · 210 · 310 · 11 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 11- 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3885,-388798] |
[a1,a2,a3,a4,a6] |
Generators |
[59:214:1] |
Generators of the group modulo torsion |
j |
8686989500/92506293 |
j-invariant |
L |
4.9556822566111 |
L(r)(E,1)/r! |
Ω |
0.30403438776916 |
Real period |
R |
4.0749356450371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224a1 24816a1 |
Quadratic twists by: -4 -3 |