Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10150g |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-20787200000000 = -1 · 218 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 4 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19117,1045541] |
[a1,a2,a3,a4,a6] |
j |
-1978042764105/53215232 |
j-invariant |
L |
4.0812003359697 |
L(r)(E,1)/r! |
Ω |
0.68020005599495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200cf1 91350fr1 10150j1 71050bi1 |
Quadratic twists by: -4 -3 5 -7 |