Atkin-Lehner |
2+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
124600j |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1956096 |
Modular degree for the optimal curve |
Δ |
-910337343141856000 = -1 · 28 · 53 · 79 · 893 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 5 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-389268,-104013868] |
[a1,a2,a3,a4,a6] |
Generators |
[1397:45570:1] |
Generators of the group modulo torsion |
j |
-203854808856599696/28448041973183 |
j-invariant |
L |
12.44115857747 |
L(r)(E,1)/r! |
Ω |
0.094832069958045 |
Real period |
R |
3.644207467166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124600u1 |
Quadratic twists by: 5 |