Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330bp |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-433869550716326400 = -1 · 29 · 37 · 52 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-401548,102904778] |
[a1,a2,a3,a4,a6] |
Generators |
[352:-2458:1] |
Generators of the group modulo torsion |
j |
-8777841616921/531878400 |
j-invariant |
L |
8.0295771113353 |
L(r)(E,1)/r! |
Ω |
0.29341379479075 |
Real period |
R |
0.65157266096883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330dc1 |
Quadratic twists by: 13 |