Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103246r |
Isogeny class |
Conductor |
103246 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-11048147968 = -1 · 210 · 112 · 13 · 193 |
Discriminant |
Eigenvalues |
2- -2 -4 -2 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,420,3856] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-92:1] |
Generators of the group modulo torsion |
j |
1194389981/1610752 |
j-invariant |
L |
4.5778543519817 |
L(r)(E,1)/r! |
Ω |
0.86205981322576 |
Real period |
R |
0.53103674315115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103246i1 |
Quadratic twists by: -19 |