Atkin-Lehner |
11- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
124553c |
Isogeny class |
Conductor |
124553 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
7815516037901 = 11 · 139 · 67 |
Discriminant |
Eigenvalues |
0 0 -1 2 11- 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-76388,8125055] |
[a1,a2,a3,a4,a6] |
Generators |
[39:2281:1] |
Generators of the group modulo torsion |
j |
10212663361536/1619189 |
j-invariant |
L |
3.817710823384 |
L(r)(E,1)/r! |
Ω |
0.71561385044552 |
Real period |
R |
2.6674377877772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999243363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9581a1 |
Quadratic twists by: 13 |