Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
94269f |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-5698878076647 = -1 · 32 · 7 · 676 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4396,26547] |
[a1,a2,a3,a4,a6] |
Generators |
[1953334:22958681:39304] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
6.9605346295837 |
L(r)(E,1)/r! |
Ω |
0.46692911937006 |
Real period |
R |
7.453523823323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a4 |
Quadratic twists by: -67 |