Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80736m |
Isogeny class |
Conductor |
80736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5815856793141978624 = -1 · 29 · 33 · 2910 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6448,-116026260] |
[a1,a2,a3,a4,a6] |
Generators |
[15443624767134553074932:-7817286855258683429273835:60275019626448704] |
Generators of the group modulo torsion |
j |
97336/19096587 |
j-invariant |
L |
10.171654627998 |
L(r)(E,1)/r! |
Ω |
0.11027467416644 |
Real period |
R |
30.74642086459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80736h2 2784a4 |
Quadratic twists by: -4 29 |