Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728cz |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-4.2442698180545E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -1 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26450739,-52454359566] |
[a1,a2,a3,a4,a6] |
j |
-215773279370739/447469568 |
j-invariant |
L |
1.0650160525538 |
L(r)(E,1)/r! |
Ω |
0.033281748849227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466h1 91728cy1 13104bd1 |
Quadratic twists by: -4 -3 -7 |