Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245i |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-109585618939225 = -1 · 52 · 1110 · 132 |
Discriminant |
Eigenvalues |
1 0 5- 2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11896,62453] |
[a1,a2,a3,a4,a6] |
Generators |
[9712742:227762319:17576] |
Generators of the group modulo torsion |
j |
42471/25 |
j-invariant |
L |
8.7465029213336 |
L(r)(E,1)/r! |
Ω |
0.36074517578996 |
Real period |
R |
12.12282730643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102245k1 102245e1 |
Quadratic twists by: -11 13 |