Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976f |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23296022394027264 = 28 · 33 · 79 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254751,-48942670] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:-34986:1] |
Generators of the group modulo torsion |
j |
2248430329584/28647703 |
j-invariant |
L |
4.0889057942819 |
L(r)(E,1)/r! |
Ω |
0.21266954256417 |
Real period |
R |
1.2016606094778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952l2 59976ba2 8568a2 |
Quadratic twists by: -4 -3 -7 |