Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400s |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-129792000000 = -1 · 214 · 3 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,-8463] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5117:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
6.7024988253179 |
L(r)(E,1)/r! |
Ω |
0.58342051097664 |
Real period |
R |
5.744140546674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gt2 7800w2 2496m2 |
Quadratic twists by: -4 8 5 |