Atkin-Lehner |
2+ 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942i |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-26258547679056 = -1 · 24 · 39 · 75 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11050,509612] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:437:1] [196:-2524:1] |
Generators of the group modulo torsion |
j |
-149194923938692633/26258547679056 |
j-invariant |
L |
5.6338998554679 |
L(r)(E,1)/r! |
Ω |
0.64329054556155 |
Real period |
R |
0.04865522096887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826bh1 |
Quadratic twists by: -3 |