Atkin-Lehner |
2+ 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
127368d |
Isogeny class |
Conductor |
127368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-2311713287746615296 = -1 · 211 · 321 · 29 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -2 2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,264813,-50990578] |
[a1,a2,a3,a4,a6] |
Generators |
[466:13176:1] [111698:13207293:8] |
Generators of the group modulo torsion |
j |
1375574560653022/1548376205463 |
j-invariant |
L |
13.233369304425 |
L(r)(E,1)/r! |
Ω |
0.13962252441582 |
Real period |
R |
11.847452056128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456i1 |
Quadratic twists by: -3 |