Atkin-Lehner |
2+ 3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010u |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2296320 |
Modular degree for the optimal curve |
Δ |
-7.6789915110605E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -5 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-698544,477932800] |
[a1,a2,a3,a4,a6] |
Generators |
[3296:182672:1] |
Generators of the group modulo torsion |
j |
-51710392435088395009/105335960371200000 |
j-invariant |
L |
4.5332788588518 |
L(r)(E,1)/r! |
Ω |
0.17211769816389 |
Real period |
R |
1.3169124695005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20670u1 |
Quadratic twists by: -3 |