Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bh |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-3924242240396544 = -1 · 28 · 39 · 112 · 235 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 11- -3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1617,3013846] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:1242:1] |
Generators of the group modulo torsion |
j |
20706224/173781261 |
j-invariant |
L |
2.6815193143134 |
L(r)(E,1)/r! |
Ω |
0.34722122431494 |
Real period |
R |
0.12871329789028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999931266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33396p1 100188bg1 |
Quadratic twists by: -3 -11 |