Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bd |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6011725726125000 = -1 · 23 · 34 · 56 · 72 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,35949,-2649002] |
[a1,a2,a3,a4,a6] |
Generators |
[86:996:1] |
Generators of the group modulo torsion |
j |
328837618515167/384750446472 |
j-invariant |
L |
6.2056419781703 |
L(r)(E,1)/r! |
Ω |
0.22865814033614 |
Real period |
R |
3.3924234935626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2478e4 |
Quadratic twists by: 5 |