Atkin-Lehner |
2- 5+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101050q |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
846336 |
Modular degree for the optimal curve |
Δ |
-98987296804044800 = -1 · 219 · 52 · 434 · 472 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 1 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13207,-15124903] |
[a1,a2,a3,a4,a6] |
Generators |
[506:-11261:1] |
Generators of the group modulo torsion |
j |
10190469224627015/3959491872161792 |
j-invariant |
L |
9.8840558204059 |
L(r)(E,1)/r! |
Ω |
0.15783450734553 |
Real period |
R |
0.41199281426279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050i1 |
Quadratic twists by: 5 |