Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115j |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-105336855 = -1 · 38 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,648] |
[a1,a2,a3,a4,a6] |
Generators |
[24:96:1] |
Generators of the group modulo torsion |
j |
-148035889/144495 |
j-invariant |
L |
5.6940744076972 |
L(r)(E,1)/r! |
Ω |
1.716774491003 |
Real period |
R |
1.6583641117508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705g1 55575l1 |
Quadratic twists by: -3 5 |