Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28435c |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
145800 |
Modular degree for the optimal curve |
Δ |
162623763671875 = 59 · 116 · 47 |
Discriminant |
Eigenvalues |
1 -1 5+ -1 11- -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-429673,108225902] |
[a1,a2,a3,a4,a6] |
Generators |
[154:6686:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
3.109429735748 |
L(r)(E,1)/r! |
Ω |
0.52837251522203 |
Real period |
R |
5.8849195334116 |
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 |
235b1 |
Quadratic twists by: -11 |