Atkin-Lehner |
2- 3+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606i |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149184 |
Modular degree for the optimal curve |
Δ |
-44644353560856 = -1 · 23 · 37 · 76 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7553,201917] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:348:1] |
Generators of the group modulo torsion |
j |
47651719042117007/44644353560856 |
j-invariant |
L |
6.159918446424 |
L(r)(E,1)/r! |
Ω |
0.41909846200234 |
Real period |
R |
1.2248351729787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818j1 |
Quadratic twists by: -3 |