Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
128772k |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-8.121742826998E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242652900,1999175023573] |
[a1,a2,a3,a4,a6] |
Generators |
[-91228032032914728:39627124714094736371:23315219666432] |
Generators of the group modulo torsion |
j |
-1151448237015808000000/591852494631738123 |
j-invariant |
L |
8.3768141508139 |
L(r)(E,1)/r! |
Ω |
0.046777755555401 |
Real period |
R |
22.384608775123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42924h1 18396f1 |
Quadratic twists by: -3 -7 |