Atkin-Lehner |
2+ 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550cm |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
27879124218750 = 2 · 39 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7992,-103334] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:128:1] [-31:-322:1] |
Generators of the group modulo torsion |
j |
198259105/97902 |
j-invariant |
L |
8.5178889394959 |
L(r)(E,1)/r! |
Ω |
0.53112133194314 |
Real period |
R |
0.66823156557071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cf1 116550eq1 |
Quadratic twists by: -3 5 |