Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
2650l |
Isogeny class |
Conductor |
2650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-13250000 = -1 · 24 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -4 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,992] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
5.0861018668176 |
L(r)(E,1)/r! |
Ω |
2.241828998392 |
Real period |
R |
0.28359109183092 |
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 |
21200q1 84800d1 23850n1 106b1 |
Quadratic twists by: -4 8 -3 5 |