Atkin-Lehner |
3+ 5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485f |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
812421225 = 33 · 52 · 73 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-677,6804] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:123:1] |
Generators of the group modulo torsion |
j |
1269183479283/30089675 |
j-invariant |
L |
5.1424244506692 |
L(r)(E,1)/r! |
Ω |
1.586194146568 |
Real period |
R |
0.54033155112307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999787742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485a1 |
Quadratic twists by: -3 |