Atkin-Lehner |
2- 3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94962bb |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-273381163776 = -1 · 28 · 34 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -1 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1422,31947] |
[a1,a2,a3,a4,a6] |
Generators |
[27:105:1] [-41:173:1] |
Generators of the group modulo torsion |
j |
-132449227393/113861376 |
j-invariant |
L |
11.774377199285 |
L(r)(E,1)/r! |
Ω |
0.8954322372987 |
Real period |
R |
0.13697269026387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962cj1 |
Quadratic twists by: -7 |