Atkin-Lehner |
2- 3+ 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270ba |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
121219200 = 27 · 33 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-503,4431] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-18:1] [-7:90:1] |
Generators of the group modulo torsion |
j |
520300455507/4489600 |
j-invariant |
L |
14.248159755195 |
L(r)(E,1)/r! |
Ω |
1.871087635087 |
Real period |
R |
0.27196099158264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270f1 |
Quadratic twists by: -3 |