Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400fh |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
110880000 = 28 · 32 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:15:1] [-3:10:1] |
Generators of the group modulo torsion |
j |
1638400/693 |
j-invariant |
L |
10.217019109589 |
L(r)(E,1)/r! |
Ω |
1.4591750856303 |
Real period |
R |
0.58349287036334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100bf1 92400fx1 |
Quadratic twists by: -4 5 |