Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ih |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2794881024000000000 = 224 · 38 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14236833,20671178463] |
[a1,a2,a3,a4,a6] |
Generators |
[2433:21000:1] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
9.6848660011226 |
L(r)(E,1)/r! |
Ω |
0.22950271964418 |
Real period |
R |
2.6374594864084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400by1 15600bu1 62400fs1 |
Quadratic twists by: -4 8 5 |