Atkin-Lehner |
2+ 3+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30906a |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1176631474176 = -1 · 211 · 39 · 172 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9384,-351424] |
[a1,a2,a3,a4,a6] |
Generators |
[115:226:1] |
Generators of the group modulo torsion |
j |
-4643254083987/59779072 |
j-invariant |
L |
3.3857492162233 |
L(r)(E,1)/r! |
Ω |
0.24234698113736 |
Real period |
R |
3.4926670020125 |
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 |
30906k1 |
Quadratic twists by: -3 |