Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cm |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-4768500 = -1 · 22 · 3 · 53 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9560,-363763] |
[a1,a2,a3,a4,a6] |
Generators |
[2237:104611:1] |
Generators of the group modulo torsion |
j |
-334350814467169/16500 |
j-invariant |
L |
9.1520312436728 |
L(r)(E,1)/r! |
Ω |
0.24140977321035 |
Real period |
R |
6.3184622495537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370dg1 |
Quadratic twists by: 17 |