Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400h |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
421200000000 = 210 · 34 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10533,418437] |
[a1,a2,a3,a4,a6] |
Generators |
[41:232:1] |
Generators of the group modulo torsion |
j |
8077950976/26325 |
j-invariant |
L |
6.153010978146 |
L(r)(E,1)/r! |
Ω |
0.94760016983974 |
Real period |
R |
3.2466282584014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gm1 3900k1 12480bc1 |
Quadratic twists by: -4 8 5 |