Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fz |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-9398627537854464 = -1 · 213 · 37 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42189,-3260558] |
[a1,a2,a3,a4,a6] |
Generators |
[833:24696:1] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
9.0061346963451 |
L(r)(E,1)/r! |
Ω |
0.22081426713337 |
Real period |
R |
1.2745630663787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bd1 30576de1 91728eq1 |
Quadratic twists by: -4 -3 -7 |