Atkin-Lehner |
2- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
11536g |
Isogeny class |
Conductor |
11536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-23625728 = -1 · 215 · 7 · 103 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ 4 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,226] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
658503/5768 |
j-invariant |
L |
2.4491578771467 |
L(r)(E,1)/r! |
Ω |
1.5620292550217 |
Real period |
R |
0.39198335582913 |
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 |
1442c1 46144q1 103824bv1 80752m1 |
Quadratic twists by: -4 8 -3 -7 |