Atkin-Lehner |
3+ 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84975a |
Isogeny class |
Conductor |
84975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
657228515625 = 33 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-180963,29554656] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:5927:1] |
Generators of the group modulo torsion |
j |
41944323880159849/42062625 |
j-invariant |
L |
2.3147428157992 |
L(r)(E,1)/r! |
Ω |
0.76334595292244 |
Real period |
R |
3.0323640396382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16995e1 |
Quadratic twists by: 5 |