Atkin-Lehner |
3- 5- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42315f |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
668365425 = 36 · 52 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-230,-525] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:25:1] |
Generators of the group modulo torsion |
j |
1345938541921/668365425 |
j-invariant |
L |
3.7168343168529 |
L(r)(E,1)/r! |
Ω |
1.2902878532494 |
Real period |
R |
0.48010402065081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945e1 |
Quadratic twists by: -3 |