Atkin-Lehner |
2+ 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850a |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2629869569225000000 = 26 · 58 · 376 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-481775,-102566875] |
[a1,a2,a3,a4,a6] |
Generators |
[-6657:34177:27] |
Generators of the group modulo torsion |
j |
791476227099775729/168311652430400 |
j-invariant |
L |
6.2653320066652 |
L(r)(E,1)/r! |
Ω |
0.18393997384133 |
Real period |
R |
8.5154573467687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170l2 |
Quadratic twists by: 5 |