Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578q |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-31199656432896 = -1 · 28 · 36 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44991,3694221] |
[a1,a2,a3,a4,a6] |
Generators |
[142:321:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
2.9905702024582 |
L(r)(E,1)/r! |
Ω |
0.66179124703595 |
Real period |
R |
1.1297256558819 |
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 |
2842f1 3654i1 |
Quadratic twists by: -3 -7 |