Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188m |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5225472 |
Modular degree for the optimal curve |
Δ |
-7237360368 = -1 · 24 · 39 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 3 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44519517,114333574005] |
[a1,a2,a3,a4,a6] |
Generators |
[3852:-27:1] [2961:92043:1] |
Generators of the group modulo torsion |
j |
-90337828880729389824/67 |
j-invariant |
L |
9.1899978887483 |
L(r)(E,1)/r! |
Ω |
0.38832080004079 |
Real period |
R |
1.9721662015639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188k1 118188j1 |
Quadratic twists by: -3 -7 |