Atkin-Lehner |
3- 5- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
123225q |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
2946906775125 = 315 · 53 · 31 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 1 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26458,1652207] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-400:1] |
Generators of the group modulo torsion |
j |
16386483362857973/23575254201 |
j-invariant |
L |
6.6670649663606 |
L(r)(E,1)/r! |
Ω |
0.80142466687284 |
Real period |
R |
0.27730054717626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123225i1 |
Quadratic twists by: 5 |