Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064m |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1942798336 = -1 · 214 · 19 · 792 |
Discriminant |
Eigenvalues |
2+ 2 1 -5 -1 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75,-2131] |
[a1,a2,a3,a4,a6] |
Generators |
[40740:66439:3375] |
Generators of the group modulo torsion |
j |
2809856/118579 |
j-invariant |
L |
8.9349439529424 |
L(r)(E,1)/r! |
Ω |
0.70913930365266 |
Real period |
R |
6.2998510294551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064r1 6004b1 |
Quadratic twists by: -4 8 |