Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91960c |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5213207985920 = -1 · 28 · 5 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2057,103818] |
[a1,a2,a3,a4,a6] |
Generators |
[66:726:1] [163:2184:1] |
Generators of the group modulo torsion |
j |
2122416/11495 |
j-invariant |
L |
8.4723406022866 |
L(r)(E,1)/r! |
Ω |
0.55185425809738 |
Real period |
R |
7.6762482825789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360m1 |
Quadratic twists by: -11 |