Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050ca |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6376370000 = -1 · 24 · 54 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,262,-3369] |
[a1,a2,a3,a4,a6] |
Generators |
[15:57:1] |
Generators of the group modulo torsion |
j |
3181588175/10202192 |
j-invariant |
L |
7.5869859640097 |
L(r)(E,1)/r! |
Ω |
0.68381091194066 |
Real period |
R |
0.46229799736454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050s1 |
Quadratic twists by: 5 |