Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800cp |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-165475380101120000 = -1 · 225 · 54 · 534 |
Discriminant |
Eigenvalues |
2- -3 5- 2 -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1401100,-638639600] |
[a1,a2,a3,a4,a6] |
Generators |
[23490:3595520:1] |
Generators of the group modulo torsion |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
2.9261588794018 |
L(r)(E,1)/r! |
Ω |
0.069380608604954 |
Real period |
R |
1.7573107136801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bh1 21200bb1 84800ci1 |
Quadratic twists by: -4 8 5 |