Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4292a |
Isogeny class |
Conductor |
4292 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
14929476566272 = 28 · 292 · 375 |
Discriminant |
Eigenvalues |
2- 1 -2 1 3 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33709,-2386145] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:37:1] |
Generators of the group modulo torsion |
j |
16547570407186432/58318267837 |
j-invariant |
L |
3.9264073058282 |
L(r)(E,1)/r! |
Ω |
0.35241473111887 |
Real period |
R |
1.1141439216694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17168h1 68672k1 38628f1 107300a1 |
Quadratic twists by: -4 8 -3 5 |