Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ks |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
714929036605056000 = 210 · 32 · 53 · 710 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228978,11101572] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:7320:1] |
Generators of the group modulo torsion |
j |
90283180649381/48614372352 |
j-invariant |
L |
13.420467559136 |
L(r)(E,1)/r! |
Ω |
0.24948593749774 |
Real period |
R |
1.3448120246037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550cs1 13650ci1 |
Quadratic twists by: 5 -7 |