Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
102608s |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-3076677074944 = -1 · 215 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 2 3 2 11- 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1896,77552] |
[a1,a2,a3,a4,a6] |
Generators |
[9588:181936:27] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
14.259266505474 |
L(r)(E,1)/r! |
Ω |
0.57072827014039 |
Real period |
R |
6.2460838380871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826c1 848c1 |
Quadratic twists by: -4 -11 |