Atkin-Lehner |
3- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325w |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
493235325 = 35 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-243,972] |
[a1,a2,a3,a4,a6] |
Generators |
[3:15:1] |
Generators of the group modulo torsion |
j |
63491300185/19729413 |
j-invariant |
L |
4.456622161081 |
L(r)(E,1)/r! |
Ω |
1.5332755265984 |
Real period |
R |
0.19377348618612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325m1 |
Quadratic twists by: 5 |