Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304r |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-7947326464 = -1 · 210 · 73 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 11- 3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,264,-3872] |
[a1,a2,a3,a4,a6] |
Generators |
[44:308:1] |
Generators of the group modulo torsion |
j |
5771588/22627 |
j-invariant |
L |
3.2470170098101 |
L(r)(E,1)/r! |
Ω |
0.666450989686 |
Real period |
R |
0.40600847619276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73304u1 |
Quadratic twists by: -7 |