Atkin-Lehner |
3+ 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22755f |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
49765185 = 38 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185,830] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:10:1] [5:5:1] |
Generators of the group modulo torsion |
j |
700463661841/49765185 |
j-invariant |
L |
4.5806139751144 |
L(r)(E,1)/r! |
Ω |
1.9653075385735 |
Real period |
R |
4.6614729605509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68265f1 113775j1 |
Quadratic twists by: -3 5 |