Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bz |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
220142514167414784 = 216 · 38 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220744,-32849936] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:1482:1] |
Generators of the group modulo torsion |
j |
163936758817/30338064 |
j-invariant |
L |
4.6515308972869 |
L(r)(E,1)/r! |
Ω |
0.22306984077568 |
Real period |
R |
5.2130880506708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025016 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12342l2 816h2 |
Quadratic twists by: -4 -11 |