Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304q |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
119315077658298368 = 211 · 78 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219928,-36125328] |
[a1,a2,a3,a4,a6] |
Generators |
[4423:292468:1] |
Generators of the group modulo torsion |
j |
4882576639250/495196009 |
j-invariant |
L |
3.9240612654152 |
L(r)(E,1)/r! |
Ω |
0.22190150192925 |
Real period |
R |
4.4209494209625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472d2 |
Quadratic twists by: -7 |