Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ga |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-6626148649795584 = -1 · 223 · 311 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33411,4567682] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2304:1] |
Generators of the group modulo torsion |
j |
-4027268071/6469632 |
j-invariant |
L |
7.56721935582 |
L(r)(E,1)/r! |
Ω |
0.37822284351064 |
Real period |
R |
1.2504564911797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bf1 30576ch1 91728es1 |
Quadratic twists by: -4 -3 -7 |