Atkin-Lehner |
2+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26488f |
Isogeny class |
Conductor |
26488 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
-260180976247808 = -1 · 210 · 74 · 113 · 433 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156920,23990716] |
[a1,a2,a3,a4,a6] |
Generators |
[449:-6622:1] [234:172:1] |
Generators of the group modulo torsion |
j |
-417312526805284324/254082984617 |
j-invariant |
L |
5.4177281427112 |
L(r)(E,1)/r! |
Ω |
0.5463721224251 |
Real period |
R |
0.13771973553547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52976b1 |
Quadratic twists by: -4 |