Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400z |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45416816640000000 = 219 · 38 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14424033,-21080412063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2192:39:1] [5097:194400:1] |
Generators of the group modulo torsion |
j |
81025909800741361/11088090 |
j-invariant |
L |
8.8334292652213 |
L(r)(E,1)/r! |
Ω |
0.077468987325361 |
Real period |
R |
7.1265850779574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gy6 1950g5 12480u5 |
Quadratic twists by: -4 8 5 |