Atkin-Lehner |
3- 5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485z |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-1051554925575 = -1 · 310 · 52 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1701,-41720] |
[a1,a2,a3,a4,a6] |
Generators |
[216:3112:1] |
Generators of the group modulo torsion |
j |
746389464911/1442462175 |
j-invariant |
L |
8.5389691448729 |
L(r)(E,1)/r! |
Ω |
0.45675084908219 |
Real period |
R |
4.6737565692366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495g1 |
Quadratic twists by: -3 |