Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730y |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
1812265079294250 = 2 · 310 · 53 · 73 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149094,22100850] |
[a1,a2,a3,a4,a6] |
Generators |
[-2802:46131:8] |
Generators of the group modulo torsion |
j |
502780379797811809/2485960328250 |
j-invariant |
L |
4.1908544375789 |
L(r)(E,1)/r! |
Ω |
0.47241752806881 |
Real period |
R |
1.4785135988732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14910be2 |
Quadratic twists by: -3 |