Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736br |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
524750540688 = 24 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2218,20803] |
[a1,a2,a3,a4,a6] |
Generators |
[81:605:1] |
Generators of the group modulo torsion |
j |
352000/153 |
j-invariant |
L |
6.8110966414284 |
L(r)(E,1)/r! |
Ω |
0.83493756066447 |
Real period |
R |
1.3596019952324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684g1 98736ck1 |
Quadratic twists by: -4 -11 |