Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225m |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-721432586669921875 = -1 · 515 · 73 · 413 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -2 6 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-154175,47041531] |
[a1,a2,a3,a4,a6] |
Generators |
[-2110:66621:8] |
Generators of the group modulo torsion |
j |
-75622570831872/134611328125 |
j-invariant |
L |
11.649614980678 |
L(r)(E,1)/r! |
Ω |
0.25502695102384 |
Real period |
R |
3.8066613920268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045m1 50225f1 |
Quadratic twists by: 5 -7 |