Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47840h |
Isogeny class |
Conductor |
47840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
6123520 = 212 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 5 -4 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,143] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] |
Generators of the group modulo torsion |
j |
7529536/1495 |
j-invariant |
L |
8.6548782008744 |
L(r)(E,1)/r! |
Ω |
2.2635321284791 |
Real period |
R |
1.9118081188132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47840c1 95680e1 |
Quadratic twists by: -4 8 |