Atkin-Lehner |
5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675a |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
260064 |
Modular degree for the optimal curve |
Δ |
-82405956734675 = -1 · 52 · 78 · 833 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -3 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35443,-2593382] |
[a1,a2,a3,a4,a6] |
Generators |
[89676803406512:652617596874982:368447607809] |
Generators of the group modulo torsion |
j |
-34166702080/571787 |
j-invariant |
L |
4.1050143006659 |
L(r)(E,1)/r! |
Ω |
0.17380184643165 |
Real period |
R |
23.618933773987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675s1 101675l1 |
Quadratic twists by: 5 -7 |