Atkin-Lehner |
2+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304a |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-275972553472 = -1 · 28 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,24912] |
[a1,a2,a3,a4,a6] |
Generators |
[16:196:1] |
Generators of the group modulo torsion |
j |
14000/187 |
j-invariant |
L |
2.8417957755329 |
L(r)(E,1)/r! |
Ω |
0.72372439249378 |
Real period |
R |
0.65443784147293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73304m1 |
Quadratic twists by: -7 |