Atkin-Lehner |
2+ 3- 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606f |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-69838368768 = -1 · 212 · 32 · 72 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2601,-52820] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1350:1] |
Generators of the group modulo torsion |
j |
-1944933354015625/69838368768 |
j-invariant |
L |
4.7711228716358 |
L(r)(E,1)/r! |
Ω |
0.33357183113858 |
Real period |
R |
3.5757837040286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818ba1 |
Quadratic twists by: -3 |