Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bd |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1128492000000 = -1 · 28 · 38 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -5 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2472,-19348] |
[a1,a2,a3,a4,a6] |
Generators |
[26:250:1] |
Generators of the group modulo torsion |
j |
8951619584/6046875 |
j-invariant |
L |
4.1342098682397 |
L(r)(E,1)/r! |
Ω |
0.49341851844159 |
Real period |
R |
1.0473385457079 |
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 |
7740a1 123840gg1 10320t1 |
Quadratic twists by: -4 8 -3 |