Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400u |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
126224000000 = 210 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65808,-6475888] |
[a1,a2,a3,a4,a6] |
Generators |
[302:1050:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
8.9741250413299 |
L(r)(E,1)/r! |
Ω |
0.29807766536683 |
Real period |
R |
2.508888925094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32200b1 2576c1 |
Quadratic twists by: -4 5 |