Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482cw |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
115948374421082112 = 212 · 38 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122109,-1166607] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:2511:1] |
Generators of the group modulo torsion |
j |
1711507151858113/985544921088 |
j-invariant |
L |
9.9492959199405 |
L(r)(E,1)/r! |
Ω |
0.27802045449006 |
Real period |
R |
0.74554585789553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003705 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16926z1 |
Quadratic twists by: -7 |