Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20090h |
Isogeny class |
Conductor |
20090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-2511250 = -1 · 2 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,34,13] |
[a1,a2,a3,a4,a6] |
Generators |
[238:1227:8] |
Generators of the group modulo torsion |
j |
88545359/51250 |
j-invariant |
L |
10.0497943426 |
L(r)(E,1)/r! |
Ω |
1.533245891366 |
Real period |
R |
3.277293746291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450m1 20090i1 |
Quadratic twists by: 5 -7 |