Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366n |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5862163547632 = -1 · 24 · 77 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1886,112932] |
[a1,a2,a3,a4,a6] |
Generators |
[2703:29641:27] |
Generators of the group modulo torsion |
j |
6300872423/49827568 |
j-invariant |
L |
8.0473330417625 |
L(r)(E,1)/r! |
Ω |
0.55314607026897 |
Real period |
R |
3.6370741267588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338e1 |
Quadratic twists by: -7 |