Atkin-Lehner |
2- 3+ 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40296i |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
80592 = 24 · 3 · 23 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1679,27048] |
[a1,a2,a3,a4,a6] |
Generators |
[49:245:1] |
Generators of the group modulo torsion |
j |
32735159007232/5037 |
j-invariant |
L |
4.248940388817 |
L(r)(E,1)/r! |
Ω |
2.6819209832365 |
Real period |
R |
3.1685798465913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592k1 120888b1 |
Quadratic twists by: -4 -3 |