Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330dh |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-351122850000 = -1 · 24 · 37 · 55 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1485,18225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:135:1] |
Generators of the group modulo torsion |
j |
2142881176631/2077650000 |
j-invariant |
L |
12.641648029772 |
L(r)(E,1)/r! |
Ω |
0.62959075735523 |
Real period |
R |
0.14342250869807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330z1 |
Quadratic twists by: 13 |