Atkin-Lehner |
2+ 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458r |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-6500898476658432 = -1 · 28 · 36 · 7 · 116 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60201,-6867635] |
[a1,a2,a3,a4,a6] |
Generators |
[7270:206245:8] |
Generators of the group modulo torsion |
j |
-33098732111216017/8917556209408 |
j-invariant |
L |
5.8901760747565 |
L(r)(E,1)/r! |
Ω |
0.15028248796877 |
Real period |
R |
3.2661690179714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162j1 |
Quadratic twists by: -3 |