Atkin-Lehner |
3- 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185p |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
68660865 = 38 · 5 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17663,907926] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-24:1] |
Generators of the group modulo torsion |
j |
835923509202601/94185 |
j-invariant |
L |
3.0841060889486 |
L(r)(E,1)/r! |
Ω |
1.5097847146877 |
Real period |
R |
2.0427456037732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395g1 |
Quadratic twists by: -3 |