Atkin-Lehner |
2+ 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774b |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-178678055602845504 = -1 · 26 · 38 · 178 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1147191,472894677] |
[a1,a2,a3,a4,a6] |
Generators |
[358:10225:1] |
Generators of the group modulo torsion |
j |
-6917321625184153/7402487616 |
j-invariant |
L |
6.3059888034938 |
L(r)(E,1)/r! |
Ω |
0.31918226162361 |
Real period |
R |
2.4695877366539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6222c1 |
Quadratic twists by: 17 |