Atkin-Lehner |
2- 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698z |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-155678203183104 = -1 · 227 · 33 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2977,596295] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:630:1] |
Generators of the group modulo torsion |
j |
108101870903853/5765859377152 |
j-invariant |
L |
8.9968138567217 |
L(r)(E,1)/r! |
Ω |
0.43838052595888 |
Real period |
R |
0.19002630608294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40698g1 |
Quadratic twists by: -3 |