Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29890z |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
31141793200 = 24 · 52 · 73 · 613 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-820,2757] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2051:1] |
Generators of the group modulo torsion |
j |
177788739367/90792400 |
j-invariant |
L |
7.2270215873059 |
L(r)(E,1)/r! |
Ω |
1.0348226751783 |
Real period |
R |
0.1454963766711 |
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 |
29890o1 |
Quadratic twists by: -7 |