Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438b |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-44171267162112 = -1 · 214 · 313 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -3 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,-319680] |
[a1,a2,a3,a4,a6] |
Generators |
[624:15240:1] |
Generators of the group modulo torsion |
j |
-75418890625/60591587328 |
j-invariant |
L |
2.4398221620866 |
L(r)(E,1)/r! |
Ω |
0.28859130175623 |
Real period |
R |
1.0567808814919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146l1 |
Quadratic twists by: -3 |