Atkin-Lehner |
5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225p |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
170240 |
Modular degree for the optimal curve |
Δ |
-8479301670875 = -1 · 53 · 79 · 412 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -1 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30298,-2044836] |
[a1,a2,a3,a4,a6] |
Generators |
[5871:35144:27] |
Generators of the group modulo torsion |
j |
-609800192/1681 |
j-invariant |
L |
3.4442725298803 |
L(r)(E,1)/r! |
Ω |
0.18090191638532 |
Real period |
R |
2.3799309307593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50225o1 50225s1 |
Quadratic twists by: 5 -7 |