Atkin-Lehner |
3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809a |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-53298411747867 = -1 · 310 · 11 · 136 · 17 |
Discriminant |
Eigenvalues |
0 3+ 2 3 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-630257,-192376351] |
[a1,a2,a3,a4,a6] |
Generators |
[19279532417581:793762622188961:9407293631] |
Generators of the group modulo torsion |
j |
-5736108018368512/11042163 |
j-invariant |
L |
6.0407190149648 |
L(r)(E,1)/r! |
Ω |
0.084720796856827 |
Real period |
R |
17.825372396973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
561a1 |
Quadratic twists by: 13 |