Atkin-Lehner |
2+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62320k |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-28121900000000 = -1 · 28 · 58 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -6 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,535,-255275] |
[a1,a2,a3,a4,a6] |
Generators |
[180:-2375:1] |
Generators of the group modulo torsion |
j |
66028749824/109851171875 |
j-invariant |
L |
3.1330461278194 |
L(r)(E,1)/r! |
Ω |
0.3091104026092 |
Real period |
R |
0.42232026990565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31160j1 |
Quadratic twists by: -4 |