Atkin-Lehner |
2+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
10744b |
Isogeny class |
Conductor |
10744 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
42880 |
Modular degree for the optimal curve |
Δ |
910611762494464 = 210 · 172 · 795 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 -4 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52632,-4397444] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:316:1] |
Generators of the group modulo torsion |
j |
15746412606293092/889269299311 |
j-invariant |
L |
2.6447474691327 |
L(r)(E,1)/r! |
Ω |
0.31631050663404 |
Real period |
R |
0.41806190652285 |
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 |
21488b1 85952j1 96696f1 |
Quadratic twists by: -4 8 -3 |