Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bq |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-7823015640 = -1 · 23 · 36 · 5 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,463,1721] |
[a1,a2,a3,a4,a6] |
Generators |
[9:76:1] |
Generators of the group modulo torsion |
j |
15087533111/10731160 |
j-invariant |
L |
8.9107392608929 |
L(r)(E,1)/r! |
Ω |
0.83467290775461 |
Real period |
R |
1.7792876662836 |
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 |
3190a1 |
Quadratic twists by: -3 |