Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225c |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3231441185546875 = -1 · 59 · 79 · 41 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- -2 -2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-165783,-26180031] |
[a1,a2,a3,a4,a6] |
j |
-799178752/5125 |
j-invariant |
L |
0.94603651592725 |
L(r)(E,1)/r! |
Ω |
0.11825456445158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045c1 50225j1 |
Quadratic twists by: 5 -7 |