Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ce |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-176915868203483136 = -1 · 217 · 39 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 1 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435267,112367682] |
[a1,a2,a3,a4,a6] |
Generators |
[231:4914:1] |
Generators of the group modulo torsion |
j |
-47113735347/913952 |
j-invariant |
L |
7.5568537442025 |
L(r)(E,1)/r! |
Ω |
0.3210282802626 |
Real period |
R |
0.49040680406476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466a1 91728cf1 91728ck1 |
Quadratic twists by: -4 -3 -7 |