Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bw |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
4175010000 = 24 · 33 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4422,-113139] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:5:1] [82:275:1] |
Generators of the group modulo torsion |
j |
22135848818688/9664375 |
j-invariant |
L |
12.069624247565 |
L(r)(E,1)/r! |
Ω |
0.58547216172038 |
Real period |
R |
2.5768996883718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440a1 |
Quadratic twists by: -3 |