Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336j |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2181872 = -1 · 24 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 11- -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-53] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
146377472/136367 |
j-invariant |
L |
5.2929304205804 |
L(r)(E,1)/r! |
Ω |
1.4239493183264 |
Real period |
R |
0.92926945370523 |
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 |
14168i1 113344du1 |
Quadratic twists by: -4 8 |