Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975b |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-3642476538604921875 = -1 · 32 · 57 · 119 · 133 |
Discriminant |
Eigenvalues |
2 3+ 5+ 4 11+ 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-654408,-223277407] |
[a1,a2,a3,a4,a6] |
Generators |
[4934118:182237903:2744] |
Generators of the group modulo torsion |
j |
-841232384/98865 |
j-invariant |
L |
13.935728397179 |
L(r)(E,1)/r! |
Ω |
0.083377764805918 |
Real period |
R |
10.446226628639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595l1 117975d1 |
Quadratic twists by: 5 -11 |