Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752c |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-3168256 = -1 · 211 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,144] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
-3543122/1547 |
j-invariant |
L |
7.8435934114183 |
L(r)(E,1)/r! |
Ω |
2.3609324784274 |
Real period |
R |
0.83056096299745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376c1 99008ch1 |
Quadratic twists by: -4 8 |