Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30544q |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30432 |
Modular degree for the optimal curve |
Δ |
-2535152 = -1 · 24 · 23 · 832 |
Discriminant |
Eigenvalues |
2- -1 2 4 -2 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35942,-2610773] |
[a1,a2,a3,a4,a6] |
Generators |
[113185532583:-1659983171003:329939371] |
Generators of the group modulo torsion |
j |
-320939027409480448/158447 |
j-invariant |
L |
5.8878848115031 |
L(r)(E,1)/r! |
Ω |
0.17336762195629 |
Real period |
R |
16.980923961071 |
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 |
7636e1 122176bv1 |
Quadratic twists by: -4 8 |