Atkin-Lehner |
2- 3- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106bo |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-5994870262052112 = -1 · 24 · 321 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5549,-3727195] |
[a1,a2,a3,a4,a6] |
Generators |
[2133:97348:1] |
Generators of the group modulo torsion |
j |
-25915940990857/8223415997328 |
j-invariant |
L |
12.021092198634 |
L(r)(E,1)/r! |
Ω |
0.19044310660746 |
Real period |
R |
1.9725530525468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30702l1 |
Quadratic twists by: -3 |