Atkin-Lehner |
3- 5- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118035a |
Isogeny class |
Conductor |
118035 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17520 |
Modular degree for the optimal curve |
Δ |
-9560835 = -1 · 36 · 5 · 43 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,-1035] |
[a1,a2,a3,a4,a6] |
Generators |
[473133:2722744:12167] |
Generators of the group modulo torsion |
j |
-1073741824/13115 |
j-invariant |
L |
6.4843874207357 |
L(r)(E,1)/r! |
Ω |
0.64080871327856 |
Real period |
R |
10.119068703572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13115a1 |
Quadratic twists by: -3 |