Atkin-Lehner |
2+ 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424g |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-240315137307648 = -1 · 210 · 313 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -1 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11307,-877750] |
[a1,a2,a3,a4,a6] |
Generators |
[139:486:1] |
Generators of the group modulo torsion |
j |
-214160022436/321924213 |
j-invariant |
L |
2.8781483521629 |
L(r)(E,1)/r! |
Ω |
0.21973894452451 |
Real period |
R |
1.6372544053938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996959439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62712g1 41808d1 |
Quadratic twists by: -4 -3 |