Atkin-Lehner |
2- 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bv |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
61813856720 = 24 · 5 · 72 · 112 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1405,-16842] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:385:8] |
Generators of the group modulo torsion |
j |
19184115122176/3863366045 |
j-invariant |
L |
4.2770965848454 |
L(r)(E,1)/r! |
Ω |
0.79074877754694 |
Real period |
R |
2.7044598579276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998402733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29260n1 |
Quadratic twists by: -4 |