Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225h |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
156953125 = 57 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 2 1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-175,656] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:37:1] [-5:37:1] |
Generators of the group modulo torsion |
j |
774144/205 |
j-invariant |
L |
4.9649819539458 |
L(r)(E,1)/r! |
Ω |
1.702978554247 |
Real period |
R |
0.72886736323882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045k1 50225a1 |
Quadratic twists by: 5 -7 |