Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104l |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-112557787806464 = -1 · 28 · 72 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3831,500941] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2366:1] |
Generators of the group modulo torsion |
j |
5030912/91091 |
j-invariant |
L |
7.3178986641441 |
L(r)(E,1)/r! |
Ω |
0.44165372852277 |
Real period |
R |
1.0355820317247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008b1 |
Quadratic twists by: 13 |