Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400dp |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1655808 |
Modular degree for the optimal curve |
Δ |
-355702769311968000 = -1 · 28 · 311 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1033153,404871923] |
[a1,a2,a3,a4,a6] |
Generators |
[-1027:19590:1] [-763:27378:1] |
Generators of the group modulo torsion |
j |
-789601498112/2302911 |
j-invariant |
L |
13.079484523097 |
L(r)(E,1)/r! |
Ω |
0.3037526023827 |
Real period |
R |
0.24465717295394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400t1 7800j1 |
Quadratic twists by: 5 13 |