Atkin-Lehner |
2- 3- 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39606r |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
246272 |
Modular degree for the optimal curve |
Δ |
-825282193784832 = -1 · 226 · 34 · 7 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21413,-1836159] |
[a1,a2,a3,a4,a6] |
Generators |
[322:4807:1] |
Generators of the group modulo torsion |
j |
-1085819234842140625/825282193784832 |
j-invariant |
L |
10.086225808711 |
L(r)(E,1)/r! |
Ω |
0.19104047617375 |
Real period |
R |
1.0153130102143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818e1 |
Quadratic twists by: -3 |