Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200x |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-18904711168000000 = -1 · 222 · 56 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120875,-17475750] |
[a1,a2,a3,a4,a6] |
j |
-3051779837625/295386112 |
j-invariant |
L |
2.0371591214237 |
L(r)(E,1)/r! |
Ω |
0.12732244370694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10150k1 3248l1 |
Quadratic twists by: -4 5 |