Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570dd |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-494321486400000 = -1 · 29 · 38 · 55 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 3 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19445,-232975] |
[a1,a2,a3,a4,a6] |
Generators |
[50:905:1] |
Generators of the group modulo torsion |
j |
16593961519126271/10088193600000 |
j-invariant |
L |
12.012754209467 |
L(r)(E,1)/r! |
Ω |
0.30379617486676 |
Real period |
R |
0.05491965411941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570bn1 |
Quadratic twists by: -7 |