Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400f |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
248144531250000 = 24 · 3 · 514 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26383,-1456238] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:404:1] |
Generators of the group modulo torsion |
j |
8124052043776/992578125 |
j-invariant |
L |
3.6255431514408 |
L(r)(E,1)/r! |
Ω |
0.3775985443507 |
Real period |
R |
4.8007906733774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200bo1 18480bf1 |
Quadratic twists by: -4 5 |