Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bm |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1106966281715712 = 226 · 36 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261445048,-1627029710480] |
[a1,a2,a3,a4,a6] |
j |
362515826352179162139875/203046912 |
j-invariant |
L |
0.3003612950738 |
L(r)(E,1)/r! |
Ω |
0.037545202363595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342g2 98736bo2 |
Quadratic twists by: -4 -11 |