Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dh |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14017536000000000 = 219 · 34 · 59 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104833,11722463] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:4875:1] |
Generators of the group modulo torsion |
j |
248858189/27378 |
j-invariant |
L |
8.5987162271542 |
L(r)(E,1)/r! |
Ω |
0.3838933596577 |
Real period |
R |
2.7998388131141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fk2 1950t2 62400bp2 |
Quadratic twists by: -4 8 5 |