Atkin-Lehner |
5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025q |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
3.8893807385211E+20 |
Discriminant |
Eigenvalues |
1 1 5- 7- 3 -5 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1982076,503108673] |
[a1,a2,a3,a4,a6] |
Generators |
[4543251312945402:176518717571864261:1965337867576] |
Generators of the group modulo torsion |
j |
1560895637/704969 |
j-invariant |
L |
7.391772107026 |
L(r)(E,1)/r! |
Ω |
0.15159768378365 |
Real period |
R |
24.379568086196 |
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 |
109025r1 109025o1 |
Quadratic twists by: 5 -7 |