Atkin-Lehner |
2- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10292a |
Isogeny class |
Conductor |
10292 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4272 |
Modular degree for the optimal curve |
Δ |
658688 = 28 · 31 · 83 |
Discriminant |
Eigenvalues |
2- -2 4 -1 0 -7 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-381,-2993] |
[a1,a2,a3,a4,a6] |
j |
23955103744/2573 |
j-invariant |
L |
1.0803790679735 |
L(r)(E,1)/r! |
Ω |
1.0803790679735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41168g1 92628e1 |
Quadratic twists by: -4 -3 |