Atkin-Lehner |
3+ 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
123225a |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4210829296875 = -1 · 38 · 58 · 31 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1467,95843] |
[a1,a2,a3,a4,a6] |
Generators |
[207:3037:1] |
Generators of the group modulo torsion |
j |
22330474496/269493075 |
j-invariant |
L |
3.854658922016 |
L(r)(E,1)/r! |
Ω |
0.57524452610652 |
Real period |
R |
1.6752262771624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998399501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645d1 |
Quadratic twists by: 5 |