Atkin-Lehner |
2- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050cd |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4636663281250 = -1 · 2 · 58 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81263,-8923733] |
[a1,a2,a3,a4,a6] |
Generators |
[1086933556:63140183875:314432] |
Generators of the group modulo torsion |
j |
-151929659700625/11869858 |
j-invariant |
L |
7.0551007469764 |
L(r)(E,1)/r! |
Ω |
0.1413820526508 |
Real period |
R |
16.633654731257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050d2 |
Quadratic twists by: 5 |