Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648b |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
-19006983113472 = -1 · 28 · 314 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -3 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6540,-50564] |
[a1,a2,a3,a4,a6] |
Generators |
[9:95:1] |
Generators of the group modulo torsion |
j |
165763712000/101846403 |
j-invariant |
L |
4.6779275747952 |
L(r)(E,1)/r! |
Ω |
0.39741003524807 |
Real period |
R |
2.9427588191638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58824f1 39216d1 |
Quadratic twists by: -4 -3 |