Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152cb |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3268247024480256 = -1 · 212 · 32 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -4 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-755645,252591051] |
[a1,a2,a3,a4,a6] |
Generators |
[289:7644:1] |
Generators of the group modulo torsion |
j |
-99021508447744/6782139 |
j-invariant |
L |
7.7778048403027 |
L(r)(E,1)/r! |
Ω |
0.42514101397549 |
Real period |
R |
0.76227696465385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152j1 122304t1 8736m1 |
Quadratic twists by: -4 8 -7 |