Atkin-Lehner |
3+ 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116571f |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
585984 |
Modular degree for the optimal curve |
Δ |
-1248016003689 = -1 · 3 · 79 · 132 · 61 |
Discriminant |
Eigenvalues |
1 3+ 3 7- -6 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79111,8531818] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-68:1] [-78:3812:1] |
Generators of the group modulo torsion |
j |
-1356939710911/30927 |
j-invariant |
L |
13.711262837204 |
L(r)(E,1)/r! |
Ω |
0.79725079091632 |
Real period |
R |
4.2995450736557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571j1 |
Quadratic twists by: -7 |