Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bn |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-243870206976 = -1 · 210 · 34 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1211,-17771] |
[a1,a2,a3,a4,a6] |
Generators |
[49:396:1] |
Generators of the group modulo torsion |
j |
191645007872/238154499 |
j-invariant |
L |
2.7840336463965 |
L(r)(E,1)/r! |
Ω |
0.52894599104883 |
Real period |
R |
0.87722681463024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264s1 24816r1 |
Quadratic twists by: -4 8 |