Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2600j |
Isogeny class |
Conductor |
2600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
260000000000 = 211 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14075,-642250] |
[a1,a2,a3,a4,a6] |
Generators |
[-23002:2388:343] |
Generators of the group modulo torsion |
j |
9636491538/8125 |
j-invariant |
L |
3.113756279085 |
L(r)(E,1)/r! |
Ω |
0.43833831721237 |
Real period |
R |
7.1035457244238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5200e3 20800a3 23400o4 520a3 |
Quadratic twists by: -4 8 -3 5 |