Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736q |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44999553275347968 = 210 · 33 · 117 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-778312,264351232] |
[a1,a2,a3,a4,a6] |
Generators |
[12270:1717958:125] |
Generators of the group modulo torsion |
j |
28742820444292/24805737 |
j-invariant |
L |
8.5909428244209 |
L(r)(E,1)/r! |
Ω |
0.35719632162874 |
Real period |
R |
6.0127598571469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010688 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49368bk4 8976e3 |
Quadratic twists by: -4 -11 |