Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656t |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2386944 |
Modular degree for the optimal curve |
Δ |
166270500082455552 = 210 · 312 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 -7 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1597808,776602980] |
[a1,a2,a3,a4,a6] |
Generators |
[1192:-23814:1] [-1418:13896:1] |
Generators of the group modulo torsion |
j |
76421134562500/28166373 |
j-invariant |
L |
13.831766662658 |
L(r)(E,1)/r! |
Ω |
0.31659342943881 |
Real period |
R |
0.30339838478891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328a1 124656f1 |
Quadratic twists by: -4 -7 |