Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bb |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
5763962668999901184 = 217 · 35 · 75 · 135 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-549920,106460928] |
[a1,a2,a3,a4,a6] |
Generators |
[-432:16224:1] |
Generators of the group modulo torsion |
j |
4490173250235298081/1407217448486304 |
j-invariant |
L |
7.0951998479328 |
L(r)(E,1)/r! |
Ω |
0.22202825891739 |
Real period |
R |
1.5978145970246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834t1 |
Quadratic twists by: -4 |