Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838b |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-996730153254273024 = -1 · 214 · 33 · 179 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,248775,-5190291] |
[a1,a2,a3,a4,a6] |
Generators |
[2274:109839:1] |
Generators of the group modulo torsion |
j |
2612676520917/1529397248 |
j-invariant |
L |
5.3049973939623 |
L(r)(E,1)/r! |
Ω |
0.16356303927701 |
Real period |
R |
2.0271226272527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999765354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838x1 5814a1 |
Quadratic twists by: -3 17 |