Atkin-Lehner |
5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2525a |
Isogeny class |
Conductor |
2525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
280 |
Modular degree for the optimal curve |
Δ |
1578125 = 56 · 101 |
Discriminant |
Eigenvalues |
0 2 5+ 2 -2 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
3.745192861285 |
L(r)(E,1)/r! |
Ω |
2.052820959852 |
Real period |
R |
1.8244128126766 |
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 |
40400p1 22725j1 101a1 123725l1 |
Quadratic twists by: -4 -3 5 -7 |