Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264m |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-62229923078602752 = -1 · 223 · 315 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56543,10810273] |
[a1,a2,a3,a4,a6] |
Generators |
[546388632:13987345277:1092727] |
Generators of the group modulo torsion |
j |
76262783193143/237388317408 |
j-invariant |
L |
7.8130730902926 |
L(r)(E,1)/r! |
Ω |
0.24703287757072 |
Real period |
R |
15.813832435034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264bw1 3102e1 |
Quadratic twists by: -4 8 |