Atkin-Lehner |
2- 3- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
93936l |
Isogeny class |
Conductor |
93936 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-845424 = -1 · 24 · 33 · 19 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 1 3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[43:285:1] |
Generators of the group modulo torsion |
j |
-87808/52839 |
j-invariant |
L |
11.732934083024 |
L(r)(E,1)/r! |
Ω |
1.2667115646658 |
Real period |
R |
3.0875047893434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23484a1 |
Quadratic twists by: -4 |