Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bq |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-71005061120000000 = -1 · 220 · 57 · 74 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,50812,12059781] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:777:1] [349:8337:1] |
Generators of the group modulo torsion |
j |
386731778279/1892679680 |
j-invariant |
L |
11.303673322643 |
L(r)(E,1)/r! |
Ω |
0.2487485029894 |
Real period |
R |
0.094671200586794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310e1 46550ci1 |
Quadratic twists by: 5 -7 |