Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490r |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-436091449507840 = -1 · 220 · 5 · 77 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13117,1162501] |
[a1,a2,a3,a4,a6] |
Generators |
[1619:64164:1] |
Generators of the group modulo torsion |
j |
-2121328796049/3706716160 |
j-invariant |
L |
9.9995078181213 |
L(r)(E,1)/r! |
Ω |
0.47321547801663 |
Real period |
R |
4.2261964296053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7070e1 |
Quadratic twists by: -7 |