Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920eq |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
10172530851840000 = 218 · 36 · 54 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-265107,52314194] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-2070:1] |
Generators of the group modulo torsion |
j |
690080604747409/3406760000 |
j-invariant |
L |
4.0553480306956 |
L(r)(E,1)/r! |
Ω |
0.40915803000365 |
Real period |
R |
0.41297694893131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490y1 12880l1 |
Quadratic twists by: -4 -3 |