Atkin-Lehner |
2- 3- 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
125460v |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-388693378244144880 = -1 · 24 · 315 · 5 · 173 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,175263,-10108739] |
[a1,a2,a3,a4,a6] |
Generators |
[20300:235467:343] |
Generators of the group modulo torsion |
j |
51044261517430016/33324192236295 |
j-invariant |
L |
9.261540835626 |
L(r)(E,1)/r! |
Ω |
0.17152275300047 |
Real period |
R |
4.4996657762604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41820g1 |
Quadratic twists by: -3 |