Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
92700j |
Isogeny class |
Conductor |
92700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-228076762500000000 = -1 · 28 · 311 · 511 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224175,46871750] |
[a1,a2,a3,a4,a6] |
Generators |
[290:2500:1] |
Generators of the group modulo torsion |
j |
-427265402704/78215625 |
j-invariant |
L |
5.5984176157836 |
L(r)(E,1)/r! |
Ω |
0.30179085381281 |
Real period |
R |
2.3188317097752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30900a1 18540g1 |
Quadratic twists by: -3 5 |