Atkin-Lehner |
5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025s |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
109988800079375 = 54 · 711 · 89 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -4 7 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20238,-995044] |
[a1,a2,a3,a4,a6] |
Generators |
[19902:519995:27] |
Generators of the group modulo torsion |
j |
12466931425/1495823 |
j-invariant |
L |
5.6140560578188 |
L(r)(E,1)/r! |
Ω |
0.40341581043501 |
Real period |
R |
6.9581507496505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109025f1 15575h1 |
Quadratic twists by: 5 -7 |