Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bs |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-202211328 = -1 · 215 · 3 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227168,-41598720] |
[a1,a2,a3,a4,a6] |
Generators |
[273280:5765360:343] |
Generators of the group modulo torsion |
j |
-2615903802147625/408 |
j-invariant |
L |
3.9198946623932 |
L(r)(E,1)/r! |
Ω |
0.10934089163231 |
Real period |
R |
8.9625541676839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342bb2 98736cj2 |
Quadratic twists by: -4 -11 |