Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560a |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.0145249298067E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1324496,-477212004] |
[a1,a2,a3,a4,a6] |
Generators |
[918147674:1613370880:704969] |
Generators of the group modulo torsion |
j |
250943549458572516676/48969970017644025 |
j-invariant |
L |
4.1943577658036 |
L(r)(E,1)/r! |
Ω |
0.14264308070374 |
Real period |
R |
14.702282596065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120y2 |
Quadratic twists by: -4 |