Atkin-Lehner |
7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27797b |
Isogeny class |
Conductor |
27797 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1952545199143 = -1 · 73 · 112 · 196 |
Discriminant |
Eigenvalues |
-1 -2 -2 7+ 11- -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1256,-64905] |
[a1,a2,a3,a4,a6] |
Generators |
[41:216:1] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
1.2686914183362 |
L(r)(E,1)/r! |
Ω |
0.41104407119775 |
Real period |
R |
3.0865094699926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77c1 |
Quadratic twists by: -19 |