Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150ct |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-5178880000 = -1 · 212 · 54 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-363,-4519] |
[a1,a2,a3,a4,a6] |
Generators |
[51:310:1] |
Generators of the group modulo torsion |
j |
-29291425/28672 |
j-invariant |
L |
13.457266858296 |
L(r)(E,1)/r! |
Ω |
0.52597847809547 |
Real period |
R |
2.1321003614737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150v1 101150cw1 |
Quadratic twists by: 5 17 |