Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5360m |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-107200000000000 = -1 · 215 · 511 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -1 5 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8387,579266] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-1250:1] |
Generators of the group modulo torsion |
j |
-15928823248281/26171875000 |
j-invariant |
L |
3.9352295599014 |
L(r)(E,1)/r! |
Ω |
0.53295524238103 |
Real period |
R |
0.33562681568807 |
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 |
670a1 21440t1 48240bl1 26800v1 |
Quadratic twists by: -4 8 -3 5 |