Atkin-Lehner |
2+ 3+ 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938c |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-1570523136 = -1 · 211 · 3 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-499737,135767397] |
[a1,a2,a3,a4,a6] |
Generators |
[3286:-795:8] |
Generators of the group modulo torsion |
j |
-13802240354905772242201/1570523136 |
j-invariant |
L |
3.9877792480775 |
L(r)(E,1)/r! |
Ω |
0.85175601789964 |
Real period |
R |
2.3409163917098 |
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 |
86814bk1 |
Quadratic twists by: -3 |