Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655n |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-6661709071875 = -1 · 36 · 55 · 113 · 133 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 11+ 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10803,-449667] |
[a1,a2,a3,a4,a6] |
Generators |
[167622:4625045:216] |
Generators of the group modulo torsion |
j |
-87056109568/4159375 |
j-invariant |
L |
8.433995583403 |
L(r)(E,1)/r! |
Ω |
0.23349334527727 |
Real period |
R |
9.0302312151368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9295e1 83655bk1 |
Quadratic twists by: -3 13 |