Atkin-Lehner |
2- 5- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650s |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73344 |
Modular degree for the optimal curve |
Δ |
1159430000 = 24 · 54 · 23 · 712 |
Discriminant |
Eigenvalues |
2- -2 5- 3 1 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2688,53392] |
[a1,a2,a3,a4,a6] |
Generators |
[62:324:1] |
Generators of the group modulo torsion |
j |
3436699707025/1855088 |
j-invariant |
L |
7.4833942229718 |
L(r)(E,1)/r! |
Ω |
1.5229748782544 |
Real period |
R |
0.20473620212347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650e1 |
Quadratic twists by: 5 |