Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498w |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
1223040 |
Modular degree for the optimal curve |
Δ |
-137632135536531328 = -1 · 27 · 77 · 117 · 67 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- -5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73268,-19443467] |
[a1,a2,a3,a4,a6] |
Generators |
[1733:70281:1] |
Generators of the group modulo torsion |
j |
-24553362849625/77689752448 |
j-invariant |
L |
15.693534915201 |
L(r)(E,1)/r! |
Ω |
0.1338081393175 |
Real period |
R |
1.1967740674124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318c1 |
Quadratic twists by: -11 |