Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2600j |
Isogeny class |
Conductor |
2600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
260000000 = 28 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,5250] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:100:1] |
Generators of the group modulo torsion |
j |
5256144/65 |
j-invariant |
L |
3.113756279085 |
L(r)(E,1)/r! |
Ω |
1.7533532688495 |
Real period |
R |
1.7758864311059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5200e1 20800a1 23400o1 520a1 |
Quadratic twists by: -4 8 -3 5 |