Atkin-Lehner |
2- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111296k |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-28491776 = -1 · 214 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 -4 2 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,259] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] |
Generators of the group modulo torsion |
j |
-351232/1739 |
j-invariant |
L |
4.3636890723521 |
L(r)(E,1)/r! |
Ω |
1.8222740005641 |
Real period |
R |
2.3946393888309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999938948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111296e1 27824a1 |
Quadratic twists by: -4 8 |