Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722ba |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
190744881822144 = 26 · 39 · 133 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -3 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57771,5317573] |
[a1,a2,a3,a4,a6] |
Generators |
[413:6989:1] [14:2117:1] |
Generators of the group modulo torsion |
j |
13313738141101/119095488 |
j-invariant |
L |
6.9708187323631 |
L(r)(E,1)/r! |
Ω |
0.56969970178498 |
Real period |
R |
0.25491568610629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999932864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574p1 124722bx1 |
Quadratic twists by: -3 13 |