Atkin-Lehner |
3- 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
54315h |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-4059171269296875 = -1 · 316 · 57 · 17 · 71 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35202,-3982298] |
[a1,a2,a3,a4,a6] |
Generators |
[922:27337:1] |
Generators of the group modulo torsion |
j |
-6617564753526784/5568136171875 |
j-invariant |
L |
3.7852726313796 |
L(r)(E,1)/r! |
Ω |
0.16828891954328 |
Real period |
R |
0.80331080994993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105c1 |
Quadratic twists by: -3 |