Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bx |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-505901585120778 = -1 · 2 · 38 · 76 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14309,1260965] |
[a1,a2,a3,a4,a6] |
Generators |
[-858:10469:8] |
Generators of the group modulo torsion |
j |
-2754008142913/4300092522 |
j-invariant |
L |
6.3641277793733 |
L(r)(E,1)/r! |
Ω |
0.4690760647116 |
Real period |
R |
2.2612280704597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2046h1 |
Quadratic twists by: -7 |