Atkin-Lehner |
5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28435f |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
-710875 = -1 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
0 -2 5- 4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,15,39] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
2883584/5875 |
j-invariant |
L |
4.0943926584947 |
L(r)(E,1)/r! |
Ω |
1.9756138541782 |
Real period |
R |
0.69082201967007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28435g1 |
Quadratic twists by: -11 |