Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060t |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-60302880000 = -1 · 28 · 36 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3447,-78786] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1440:1] |
Generators of the group modulo torsion |
j |
-24270575184/323125 |
j-invariant |
L |
7.0766265242549 |
L(r)(E,1)/r! |
Ω |
0.31129002755898 |
Real period |
R |
2.8416532458493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10340a1 |
Quadratic twists by: -3 |