Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6200f |
Isogeny class |
Conductor |
6200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-7750000 = -1 · 24 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 2 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-125] |
[a1,a2,a3,a4,a6] |
j |
6912/31 |
j-invariant |
L |
2.3643655682473 |
L(r)(E,1)/r! |
Ω |
1.1821827841236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12400c1 49600t1 55800cb1 248c1 |
Quadratic twists by: -4 8 -3 5 |