Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560q |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6997575467008000 = -1 · 233 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 3 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104641,13671105] |
[a1,a2,a3,a4,a6] |
j |
-483385461758641/26693632000 |
j-invariant |
L |
4.97449810746 |
L(r)(E,1)/r! |
Ω |
0.41454150894317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560cg1 1330j1 |
Quadratic twists by: -4 8 |