Atkin-Lehner |
11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
68651d |
Isogeny class |
Conductor |
68651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-2323672987325239 = -1 · 112 · 797 |
Discriminant |
Eigenvalues |
-1 2 2 -4 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12612,2377196] |
[a1,a2,a3,a4,a6] |
Generators |
[4363770:55671167:27000] |
Generators of the group modulo torsion |
j |
-912673/9559 |
j-invariant |
L |
5.4025783616375 |
L(r)(E,1)/r! |
Ω |
0.39220495032683 |
Real period |
R |
6.8874428497327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
869c1 |
Quadratic twists by: -79 |