Atkin-Lehner |
3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
28677d |
Isogeny class |
Conductor |
28677 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
188149797 = 39 · 112 · 79 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184,683] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:67:8] [-7:-37:1] |
Generators of the group modulo torsion |
j |
5695597897/1554957 |
j-invariant |
L |
5.2119896217243 |
L(r)(E,1)/r! |
Ω |
1.6745727590983 |
Real period |
R |
0.34582549777122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86031h1 28677c1 |
Quadratic twists by: -3 -11 |