Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944i |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-2300727470704 = -1 · 24 · 136 · 313 |
Discriminant |
Eigenvalues |
2- -2 -1 -1 0 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3296,102013] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:403:1] [18:221:1] |
Generators of the group modulo torsion |
j |
-8310210304/4826809 |
j-invariant |
L |
7.6028503171826 |
L(r)(E,1)/r! |
Ω |
0.7596369623838 |
Real period |
R |
0.41702213757154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99944d1 |
Quadratic twists by: -31 |