Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736g |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
404673739278336 = 211 · 38 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91032,-10496880] |
[a1,a2,a3,a4,a6] |
j |
22994537186/111537 |
j-invariant |
L |
2.1994666483467 |
L(r)(E,1)/r! |
Ω |
0.27493334810082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368n4 816b3 |
Quadratic twists by: -4 -11 |