Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300bd |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
83139275084320000 = 28 · 54 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123933,9422063] |
[a1,a2,a3,a4,a6] |
Generators |
[6506:169169:8] |
Generators of the group modulo torsion |
j |
272588800/107653 |
j-invariant |
L |
6.8312218624162 |
L(r)(E,1)/r! |
Ω |
0.31066252871257 |
Real period |
R |
2.7486505706294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999529577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118300t1 9100l1 |
Quadratic twists by: 5 13 |