Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662bh |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-109829647499264 = -1 · 221 · 72 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8049,575081] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:419:1] |
Generators of the group modulo torsion |
j |
-3938965036897/7501512704 |
j-invariant |
L |
17.847807499523 |
L(r)(E,1)/r! |
Ω |
0.52940238712176 |
Real period |
R |
2.4080801675439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029374 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123662c1 |
Quadratic twists by: -11 |