Atkin-Lehner |
2+ 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bf |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1931904 |
Modular degree for the optimal curve |
Δ |
2323275216316268544 = 239 · 36 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11- -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-347391,28947213] |
[a1,a2,a3,a4,a6] |
Generators |
[558:17703:8] |
Generators of the group modulo torsion |
j |
6359933511864961777/3186934453108736 |
j-invariant |
L |
3.0473732922691 |
L(r)(E,1)/r! |
Ω |
0.22914856681658 |
Real period |
R |
6.649339623031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594c1 |
Quadratic twists by: -3 |