Atkin-Lehner |
5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225o |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
851200 |
Modular degree for the optimal curve |
Δ |
-132489088607421875 = -1 · 59 · 79 · 412 |
Discriminant |
Eigenvalues |
2 -1 5- 7- -1 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-757458,-254089557] |
[a1,a2,a3,a4,a6] |
Generators |
[733740432:310547010077:4096] |
Generators of the group modulo torsion |
j |
-609800192/1681 |
j-invariant |
L |
7.9677625593344 |
L(r)(E,1)/r! |
Ω |
0.080901796459512 |
Real period |
R |
12.310855425869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50225p1 50225r1 |
Quadratic twists by: 5 -7 |