Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101080s |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-322781796400 = -1 · 24 · 52 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10855,439800] |
[a1,a2,a3,a4,a6] |
Generators |
[60:30:1] |
Generators of the group modulo torsion |
j |
-1289057880064/2941225 |
j-invariant |
L |
9.7942866262576 |
L(r)(E,1)/r! |
Ω |
0.96701958404678 |
Real period |
R |
2.5320807281562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101080g1 |
Quadratic twists by: -19 |