Atkin-Lehner |
3+ 5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485d |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31552810516419885 = 39 · 5 · 72 · 11 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103952,9689086] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:4586:1] |
Generators of the group modulo torsion |
j |
6311419556349627/1603048850095 |
j-invariant |
L |
4.1723257171913 |
L(r)(E,1)/r! |
Ω |
0.34694124677702 |
Real period |
R |
6.0130148100425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485c2 |
Quadratic twists by: -3 |