Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520ba |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-1179854910000 = -1 · 24 · 35 · 54 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,52250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:195:1] [-13:225:1] |
Generators of the group modulo torsion |
j |
-212629504/73740931875 |
j-invariant |
L |
8.1246680636516 |
L(r)(E,1)/r! |
Ω |
0.68954138404099 |
Real period |
R |
0.58913563795397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040f1 79560be1 |
Quadratic twists by: -4 -3 |