Atkin-Lehner |
2+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150u |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-47222976813320000 = -1 · 26 · 54 · 77 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11- 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-215925,-40099475] |
[a1,a2,a3,a4,a6] |
Generators |
[1890:78475:1] |
Generators of the group modulo torsion |
j |
-1781376104147950825/75556762901312 |
j-invariant |
L |
3.4742499665419 |
L(r)(E,1)/r! |
Ω |
0.11046300774756 |
Real period |
R |
2.6209754426659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73150bk1 |
Quadratic twists by: 5 |