Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2548c |
Isogeny class |
Conductor |
2548 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
6492304 = 24 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-702,6929] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:91:1] |
Generators of the group modulo torsion |
j |
997335808/169 |
j-invariant |
L |
3.2246510980904 |
L(r)(E,1)/r! |
Ω |
2.3011788152448 |
Real period |
R |
0.70065200425275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10192p1 40768c1 22932j1 63700c1 |
Quadratic twists by: -4 8 -3 5 |