Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286c |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-2003628774388122 = -1 · 2 · 33 · 78 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 3 2 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,31449,165535] |
[a1,a2,a3,a4,a6] |
Generators |
[233:4367:1] |
Generators of the group modulo torsion |
j |
22099801941/12872686 |
j-invariant |
L |
4.5679363674191 |
L(r)(E,1)/r! |
Ω |
0.28129010623499 |
Real period |
R |
2.7065393024068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286bj1 20286h1 |
Quadratic twists by: -3 -7 |