Atkin-Lehner |
3+ 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225d |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-1299638671875 = -1 · 34 · 510 · 31 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4283,122468] |
[a1,a2,a3,a4,a6] |
Generators |
[2:337:1] |
Generators of the group modulo torsion |
j |
-556223463424/83176875 |
j-invariant |
L |
5.0621755300714 |
L(r)(E,1)/r! |
Ω |
0.8299941792945 |
Real period |
R |
1.5247623685326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999354311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645e1 |
Quadratic twists by: 5 |