Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330a |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
10548015667937280 = 216 · 33 · 5 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-131823,-17801883] |
[a1,a2,a3,a4,a6] |
Generators |
[42618:1623235:27] |
Generators of the group modulo torsion |
j |
52485860157121/2185297920 |
j-invariant |
L |
3.473039244878 |
L(r)(E,1)/r! |
Ω |
0.25119792431891 |
Real period |
R |
6.9129537019602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410r1 |
Quadratic twists by: 13 |