Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bp |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1975680 |
Modular degree for the optimal curve |
Δ |
-3228364189465039872 = -1 · 210 · 36 · 137 · 413 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1153964,485186095] |
[a1,a2,a3,a4,a6] |
Generators |
[725:5045:1] |
Generators of the group modulo torsion |
j |
-48296148523713/917476352 |
j-invariant |
L |
14.318718254541 |
L(r)(E,1)/r! |
Ω |
0.25206871660903 |
Real period |
R |
1.4201205115042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858d1 9594g1 |
Quadratic twists by: -3 13 |