Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254cq |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
455507773636608 = 214 · 32 · 77 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20532,-479088] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:828:1] |
Generators of the group modulo torsion |
j |
8136367582897/3871752192 |
j-invariant |
L |
15.315936611136 |
L(r)(E,1)/r! |
Ω |
0.41796094266042 |
Real period |
R |
1.308729308693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322h1 |
Quadratic twists by: -7 |