Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150l |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-983641689378906250 = -1 · 2 · 59 · 78 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-228025,63414375] |
[a1,a2,a3,a4,a6] |
Generators |
[915:24480:1] |
Generators of the group modulo torsion |
j |
-83917793317066129/62953068120250 |
j-invariant |
L |
8.0354420061466 |
L(r)(E,1)/r! |
Ω |
0.25566180695703 |
Real period |
R |
0.98218645045963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630o2 |
Quadratic twists by: 5 |