Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304c |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-4984754247088 = -1 · 24 · 78 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16235,798034] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:833:1] [65:147:1] |
Generators of the group modulo torsion |
j |
-5131012096/54043 |
j-invariant |
L |
5.8934339712452 |
L(r)(E,1)/r! |
Ω |
0.77152568695574 |
Real period |
R |
0.42437083293663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73304h1 |
Quadratic twists by: -7 |