Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928t |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-816943387392 = -1 · 28 · 310 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1212,-40340] |
[a1,a2,a3,a4,a6] |
Generators |
[158555:37305:6859] |
Generators of the group modulo torsion |
j |
1055028224/4377483 |
j-invariant |
L |
7.9224744882707 |
L(r)(E,1)/r! |
Ω |
0.45211626465 |
Real period |
R |
8.7615455444892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13464o1 107712dr1 8976i1 |
Quadratic twists by: -4 8 -3 |