Atkin-Lehner |
3+ 17+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861a |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145536 |
Modular degree for the optimal curve |
Δ |
1101401253 = 33 · 173 · 192 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 2 3 -2 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30399,-2040032] |
[a1,a2,a3,a4,a6] |
Generators |
[-12580:23:125] |
Generators of the group modulo torsion |
j |
115063568839471104/40792639 |
j-invariant |
L |
4.1275138565879 |
L(r)(E,1)/r! |
Ω |
0.36156363135929 |
Real period |
R |
2.8539332343312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66861e1 |
Quadratic twists by: -3 |