Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gn |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-2539200 = -1 · 26 · 3 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-453,3867] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:69:1] |
Generators of the group modulo torsion |
j |
-6439567360/1587 |
j-invariant |
L |
7.0053119486977 |
L(r)(E,1)/r! |
Ω |
2.5056372331972 |
Real period |
R |
1.3979102518456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400df1 27600cx1 110400jc1 |
Quadratic twists by: -4 8 5 |