Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305f |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9134996484375 = -1 · 37 · 58 · 172 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4140,102091] |
[a1,a2,a3,a4,a6] |
Generators |
[550:6457:8] |
Generators of the group modulo torsion |
j |
10763120399039/12530859375 |
j-invariant |
L |
6.6099623551663 |
L(r)(E,1)/r! |
Ω |
0.48726872408267 |
Real period |
R |
3.391333174323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435e1 |
Quadratic twists by: -3 |