Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7686v |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-125094676644 = -1 · 22 · 39 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1661,31529] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1042:1] |
Generators of the group modulo torsion |
j |
-694800198793/171597636 |
j-invariant |
L |
7.0826274077305 |
L(r)(E,1)/r! |
Ω |
0.99479322802754 |
Real period |
R |
0.593308171 |
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 |
61488bf1 2562h1 53802cd1 |
Quadratic twists by: -4 -3 -7 |