Atkin-Lehner |
2- 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526ba |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
-1144080516096 = -1 · 210 · 311 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9284,350439] |
[a1,a2,a3,a4,a6] |
Generators |
[29:309:1] |
Generators of the group modulo torsion |
j |
-121382959848697/1569383424 |
j-invariant |
L |
8.2735575409095 |
L(r)(E,1)/r! |
Ω |
0.87138146739033 |
Real period |
R |
0.23736898909577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37842a1 |
Quadratic twists by: -3 |