Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bv |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2283714353074176 = 212 · 32 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32952,131760] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1170:1] |
Generators of the group modulo torsion |
j |
545338513/314721 |
j-invariant |
L |
7.5749776263814 |
L(r)(E,1)/r! |
Ω |
0.39199534167788 |
Real period |
R |
4.831038033943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009616 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6171d2 8976r2 |
Quadratic twists by: -4 -11 |