Atkin-Lehner |
5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
2915c |
Isogeny class |
Conductor |
2915 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-100203125 = -1 · 56 · 112 · 53 |
Discriminant |
Eigenvalues |
-1 1 5- 0 11+ 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55,502] |
[a1,a2,a3,a4,a6] |
Generators |
[9:23:1] |
Generators of the group modulo torsion |
j |
-18420660721/100203125 |
j-invariant |
L |
2.5918328330994 |
L(r)(E,1)/r! |
Ω |
1.6369617118558 |
Real period |
R |
0.13194326285133 |
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 |
46640y1 26235d1 14575a1 32065e1 |
Quadratic twists by: -4 -3 5 -11 |